step int64 0 400k | black_hole dict | observer dict | metrics dict | raw_parameters dict | notes stringlengths 47 47 |
|---|---|---|---|---|---|
0 | {
"mass_solar": 845042.058006,
"spin": 0.024961,
"type": "Kerr"
} | {
"r_km": 28567956.635469,
"theta_rad": 0.701237,
"phi_rad": 4.627385,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 62641.628906
} | {
"schwarzschild_radius_km": 2495695.989412,
"time_dilation": 0.955322,
"redshift": 0.046767,
"frame_dragging": false,
"orbital_period_s": 2865.470782,
"extremeness_score": 1.093535,
"is_near_horizon": false,
"frame_drag_value": -0.000103071,
"metric_tensor": [
[
-0.91264,
0,
0,
... | {
"mass_kg": 1.6803407810831897e+36,
"radius_m": 28567956635.469463,
"theta_rad": 0.701237,
"phi_rad": 4.627385,
"spin": 0.024961,
"rs_m": 2495695989.411962,
"event_horizon_m": 2495307200.343537
} | Spin=0.025, Time dilation=0.955, Redshift=0.047 |
1 | {
"mass_solar": 1756098.746981,
"spin": 0.890395,
"type": "Kerr"
} | {
"r_km": 18615928.958976,
"theta_rad": 1.325506,
"phi_rad": 0.187221,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 106940.359375
} | {
"schwarzschild_radius_km": 5186355.588259,
"time_dilation": 0.849354,
"redshift": 0.177365,
"frame_dragging": false,
"orbital_period_s": 1093.762201,
"extremeness_score": 1.354731,
"is_near_horizon": false,
"frame_drag_value": -0.001331978,
"metric_tensor": [
[
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0,
0,... | {
"mass_kg": 3.491949675410289e+36,
"radius_m": 18615928958.975914,
"theta_rad": 1.325506,
"phi_rad": 0.187221,
"spin": 0.890395,
"rs_m": 5186355588.258741,
"event_horizon_m": 3773561940.545389
} | Spin=0.890, Time dilation=0.849, Redshift=0.177 |
2 | {
"mass_solar": 219.051486,
"spin": 0.504345,
"type": "Kerr"
} | {
"r_km": 1600.060345,
"theta_rad": 0.624667,
"phi_rad": 4.083344,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 128884.609375
} | {
"schwarzschild_radius_km": 646.933379,
"time_dilation": 0.771804,
"redshift": 0.295665,
"frame_dragging": true,
"orbital_period_s": 0.078004,
"extremeness_score": 1.59133,
"is_near_horizon": false,
"frame_drag_value": -28.600151062,
"metric_tensor": [
[
-0.598429,
0,
0,
-... | {
"mass_kg": 4.355773077608905e+32,
"radius_m": 1600060.345166,
"theta_rad": 0.624667,
"phi_rad": 4.083344,
"spin": 0.504345,
"rs_m": 646933.379405,
"event_horizon_m": 602780.981109
} | Spin=0.504, Time dilation=0.772, Redshift=0.296 |
3 | {
"mass_solar": 132309.618492,
"spin": 0.22,
"type": "Kerr"
} | {
"r_km": 31049052.173167,
"theta_rad": 2.542901,
"phi_rad": 0.040833,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 23778.597656
} | {
"schwarzschild_radius_km": 390755.206919,
"time_dilation": 0.993688,
"redshift": 0.006353,
"frame_dragging": false,
"orbital_period_s": 8204.308606,
"extremeness_score": 1.012705,
"is_near_horizon": false,
"frame_drag_value": -0.00000495,
"metric_tensor": [
[
-0.987415,
0,
0,
... | {
"mass_kg": 2.630937070828302e+35,
"radius_m": 31049052173.167313,
"theta_rad": 2.542901,
"phi_rad": 0.040833,
"spin": 0.22,
"rs_m": 390755206.918732,
"event_horizon_m": 385968442.019575
} | Spin=0.220, Time dilation=0.994, Redshift=0.006 |
4 | {
"mass_solar": 22132018.710836,
"spin": 0.696743,
"type": "Kerr"
} | {
"r_km": 1118587464.740525,
"theta_rad": 0.488453,
"phi_rad": 6.014347,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 51065.710938
} | {
"schwarzschild_radius_km": 65363362.463352,
"time_dilation": 0.970343,
"redshift": 0.030563,
"frame_dragging": false,
"orbital_period_s": 137632.325396,
"extremeness_score": 1.061126,
"is_near_horizon": false,
"frame_drag_value": -0.000001559,
"metric_tensor": [
[
-0.941585,
0,
... | {
"mass_kg": 4.400885524593533e+37,
"radius_m": 1118587464740.5251,
"theta_rad": 0.488453,
"phi_rad": 6.014347,
"spin": 0.696743,
"rs_m": 65363362463.3519,
"event_horizon_m": 56124928678.21402
} | Spin=0.697, Time dilation=0.970, Redshift=0.031 |
5 | {
"mass_solar": 2217.561888,
"spin": 0.09256,
"type": "Kerr"
} | {
"r_km": 24968.568737,
"theta_rad": 2.662482,
"phi_rad": 3.793323,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 108093.195312
} | {
"schwarzschild_radius_km": 6549.212856,
"time_dilation": 0.858896,
"redshift": 0.164286,
"frame_dragging": false,
"orbital_period_s": 1.45136,
"extremeness_score": 1.328572,
"is_near_horizon": false,
"frame_drag_value": -0.733379841,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 4.4095552876210914e+33,
"radius_m": 24968568.737292,
"theta_rad": 2.662482,
"phi_rad": 3.793323,
"spin": 0.09256,
"rs_m": 6549212.856283,
"event_horizon_m": 6535155.219918
} | Spin=0.093, Time dilation=0.859, Redshift=0.164 |
6 | {
"mass_solar": 22707935.905061,
"spin": 0.728272,
"type": "Kerr"
} | {
"r_km": 3842479401.344444,
"theta_rad": 3.057133,
"phi_rad": 2.378402,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 27989.019531
} | {
"schwarzschild_radius_km": 67064241.393867,
"time_dilation": 0.991235,
"redshift": 0.008843,
"frame_dragging": false,
"orbital_period_s": 862588.637286,
"extremeness_score": 1.017685,
"is_near_horizon": false,
"frame_drag_value": -6.9e-8,
"metric_tensor": [
[
-0.982547,
0,
0,
... | {
"mass_kg": 4.515404930913665e+37,
"radius_m": 3842479401344.444,
"theta_rad": 3.057133,
"phi_rad": 2.378402,
"spin": 0.728272,
"rs_m": 67064241393.86714,
"event_horizon_m": 56511275253.224106
} | Spin=0.728, Time dilation=0.991, Redshift=0.009 |
7 | {
"mass_solar": 152088.58437,
"spin": 0.827746,
"type": "Kerr"
} | {
"r_km": 42745413.993001,
"theta_rad": 2.707132,
"phi_rad": 3.627611,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 21723.460938
} | {
"schwarzschild_radius_km": 449169.205782,
"time_dilation": 0.994732,
"redshift": 0.005296,
"frame_dragging": false,
"orbital_period_s": 12363.469412,
"extremeness_score": 1.010592,
"is_near_horizon": false,
"frame_drag_value": -0.000002852,
"metric_tensor": [
[
-0.989492,
0,
0,... | {
"mass_kg": 3.0242358736190583e+35,
"radius_m": 42745413993.00121,
"theta_rad": 2.707132,
"phi_rad": 3.627611,
"spin": 0.827746,
"rs_m": 449169205.782265,
"event_horizon_m": 350599741.964915
} | Spin=0.828, Time dilation=0.995, Redshift=0.005 |
8 | {
"mass_solar": 3034600.898809,
"spin": 0.045733,
"type": "Kerr"
} | {
"r_km": 76717746.743556,
"theta_rad": 0.909139,
"phi_rad": 0.501348,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 72407.734375
} | {
"schwarzschild_radius_km": 8962206.343309,
"time_dilation": 0.939776,
"redshift": 0.064083,
"frame_dragging": false,
"orbital_period_s": 6657.186893,
"extremeness_score": 1.128166,
"is_near_horizon": false,
"frame_drag_value": -0.000061131,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 6.034212849255062e+36,
"radius_m": 76717746743.55571,
"theta_rad": 0.909139,
"phi_rad": 0.501348,
"spin": 0.045733,
"rs_m": 8962206343.308655,
"event_horizon_m": 8957517814.888252
} | Spin=0.046, Time dilation=0.940, Redshift=0.064 |
9 | {
"mass_solar": 289.180998,
"spin": 0.100799,
"type": "Kerr"
} | {
"r_km": 9955.30923,
"theta_rad": 1.997062,
"phi_rad": 2.292308,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 62034.203125
} | {
"schwarzschild_radius_km": 854.04963,
"time_dilation": 0.956144,
"redshift": 0.045867,
"frame_dragging": false,
"orbital_period_s": 1.008332,
"extremeness_score": 1.091735,
"is_near_horizon": false,
"frame_drag_value": -0.291647434,
"metric_tensor": [
[
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0,
0,
-... | {
"mass_kg": 5.750277390747893e+32,
"radius_m": 9955309.229868,
"theta_rad": 1.997062,
"phi_rad": 2.292308,
"spin": 0.100799,
"rs_m": 854049.629912,
"event_horizon_m": 851874.693158
} | Spin=0.101, Time dilation=0.956, Redshift=0.046 |
10 | {
"mass_solar": 4286.75587,
"spin": 0.209088,
"type": "Kerr"
} | {
"r_km": 137901.650223,
"theta_rad": 2.942587,
"phi_rad": 4.071726,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 64098.800781
} | {
"schwarzschild_radius_km": 12660.244934,
"time_dilation": 0.952992,
"redshift": 0.049327,
"frame_dragging": false,
"orbital_period_s": 13.517595,
"extremeness_score": 1.098654,
"is_near_horizon": false,
"frame_drag_value": -0.023930818,
"metric_tensor": [
[
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0,
... | {
"mass_kg": 8.524085445754568e+33,
"radius_m": 137901650.223372,
"theta_rad": 2.942587,
"phi_rad": 4.071726,
"spin": 0.209088,
"rs_m": 12660244.933567,
"event_horizon_m": 12520329.1319
} | Spin=0.209, Time dilation=0.953, Redshift=0.049 |
11 | {
"mass_solar": 466305.948907,
"spin": 0.170796,
"type": "Kerr"
} | {
"r_km": 259206136.342676,
"theta_rad": 0.513344,
"phi_rad": 2.384189,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 15451.301758
} | {
"schwarzschild_radius_km": 1377159.723,
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"redshift": 0.002667,
"frame_dragging": false,
"orbital_period_s": 105404.726276,
"extremeness_score": 1.005334,
"is_near_horizon": false,
"frame_drag_value": -1.6e-7,
"metric_tensor": [
[
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0,
... | {
"mass_kg": 9.272353902233963e+35,
"radius_m": 259206136342.67612,
"theta_rad": 0.513344,
"phi_rad": 2.384189,
"spin": 0.170796,
"rs_m": 1377159722.999545,
"event_horizon_m": 1367041970.237499
} | Spin=0.171, Time dilation=0.997, Redshift=0.003 |
12 | {
"mass_solar": 814158174.651136,
"spin": 0.63872,
"type": "Kerr"
} | {
"r_km": 156541941881.81577,
"theta_rad": 2.150779,
"phi_rad": 5.295795,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 26261.210938
} | {
"schwarzschild_radius_km": 2404485400.428885,
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"redshift": 0.00777,
"frame_dragging": false,
"orbital_period_s": 37453796.634966,
"extremeness_score": 1.015539,
"is_near_horizon": false,
"frame_drag_value": -1e-9,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 1.618929105548545e+39,
"radius_m": 156541941881815.75,
"theta_rad": 2.150779,
"phi_rad": 5.295795,
"spin": 0.63872,
"rs_m": 2404485400428.885,
"event_horizon_m": 2127295662657.4583
} | Spin=0.639, Time dilation=0.992, Redshift=0.008 |
13 | {
"mass_solar": 12327482.854646,
"spin": 0.22859,
"type": "Kerr"
} | {
"r_km": 93188961.574091,
"theta_rad": 0.991025,
"phi_rad": 1.682266,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 129936.101562
} | {
"schwarzschild_radius_km": 36407240.59638,
"time_dilation": 0.780588,
"redshift": 0.281085,
"frame_dragging": true,
"orbital_period_s": 4506.241845,
"extremeness_score": 1.56217,
"is_near_horizon": false,
"frame_drag_value": -0.000427178,
"metric_tensor": [
[
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0,
... | {
"mass_kg": 2.4512829831977427e+37,
"radius_m": 93188961574.09084,
"theta_rad": 0.991025,
"phi_rad": 1.682266,
"spin": 0.22859,
"rs_m": 36407240596.37951,
"event_horizon_m": 35925259521.837006
} | Spin=0.229, Time dilation=0.781, Redshift=0.281 |
14 | {
"mass_solar": 188.496134,
"spin": 0.941024,
"type": "Kerr"
} | {
"r_km": 259749.918647,
"theta_rad": 0.98859,
"phi_rad": 4.118243,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 9813.447266
} | {
"schwarzschild_radius_km": 556.693057,
"time_dilation": 0.998928,
"redshift": 0.001073,
"frame_dragging": false,
"orbital_period_s": 166.308213,
"extremeness_score": 1.002147,
"is_near_horizon": false,
"frame_drag_value": -0.000041798,
"metric_tensor": [
[
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0,
... | {
"mass_kg": 3.74818908057158e+32,
"radius_m": 259749918.647003,
"theta_rad": 0.98859,
"phi_rad": 4.118243,
"spin": 0.941024,
"rs_m": 556693.056626,
"event_horizon_m": 372522.322983
} | Spin=0.941, Time dilation=0.999, Redshift=0.001 |
15 | {
"mass_solar": 7063.890773,
"spin": 0.912718,
"type": "Kerr"
} | {
"r_km": 741790.4948,
"theta_rad": 0.832146,
"phi_rad": 1.549606,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 35496.316406
} | {
"schwarzschild_radius_km": 20862.06681,
"time_dilation": 0.985838,
"redshift": 0.014366,
"frame_dragging": false,
"orbital_period_s": 131.303971,
"extremeness_score": 1.028731,
"is_near_horizon": false,
"frame_drag_value": -0.000761304,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 1.4046334884712495e+34,
"radius_m": 741790494.799855,
"theta_rad": 0.832146,
"phi_rad": 1.549606,
"spin": 0.912718,
"rs_m": 20862066.809517,
"event_horizon_m": 14693038.64152
} | Spin=0.913, Time dilation=0.986, Redshift=0.014 |
16 | {
"mass_solar": 182639.11483,
"spin": 0.262216,
"type": "Kerr"
} | {
"r_km": 41640844.64955,
"theta_rad": 2.820594,
"phi_rad": 2.509507,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 24123.492188
} | {
"schwarzschild_radius_km": 539395.290533,
"time_dilation": 0.993502,
"redshift": 0.00654,
"frame_dragging": false,
"orbital_period_s": 10845.740276,
"extremeness_score": 1.013081,
"is_near_horizon": false,
"frame_drag_value": -0.000003869,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 3.631724006660513e+35,
"radius_m": 41640844649.55006,
"theta_rad": 2.820594,
"phi_rad": 2.509507,
"spin": 0.262216,
"rs_m": 539395290.533335,
"event_horizon_m": 529958346.837351
} | Spin=0.262, Time dilation=0.994, Redshift=0.007 |
17 | {
"mass_solar": 222.006398,
"spin": 0.995543,
"type": "Kerr"
} | {
"r_km": 31863.818583,
"theta_rad": 0.2856,
"phi_rad": 0.296041,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 30377.029297
} | {
"schwarzschild_radius_km": 655.660239,
"time_dilation": 0.989658,
"redshift": 0.01045,
"frame_dragging": false,
"orbital_period_s": 6.590713,
"extremeness_score": 1.0209,
"is_near_horizon": false,
"frame_drag_value": -0.010963082,
"metric_tensor": [
[
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0,
0,
-53... | {
"mass_kg": 4.4145306302495374e+32,
"radius_m": 31863818.583389,
"theta_rad": 0.2856,
"phi_rad": 0.296041,
"spin": 0.995543,
"rs_m": 655660.239463,
"event_horizon_m": 358748.981564
} | Spin=0.996, Time dilation=0.990, Redshift=0.010 |
18 | {
"mass_solar": 25.801651,
"spin": 0.626191,
"type": "Kerr"
} | {
"r_km": 21144.381575,
"theta_rad": 1.326255,
"phi_rad": 0.399156,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 12725.294922
} | {
"schwarzschild_radius_km": 76.201032,
"time_dilation": 0.998196,
"redshift": 0.001807,
"frame_dragging": false,
"orbital_period_s": 10.440156,
"extremeness_score": 1.003614,
"is_near_horizon": false,
"frame_drag_value": -0.001116216,
"metric_tensor": [
[
-0.996396,
0,
0,
... | {
"mass_kg": 5.1305809043062295e+31,
"radius_m": 21144381.574546,
"theta_rad": 1.326255,
"phi_rad": 0.399156,
"spin": 0.626191,
"rs_m": 76201.032138,
"event_horizon_m": 67806.32919
} | Spin=0.626, Time dilation=0.998, Redshift=0.002 |
19 | {
"mass_solar": 5365.573649,
"spin": 0.994129,
"type": "Kerr"
} | {
"r_km": 868962.422224,
"theta_rad": 3.050733,
"phi_rad": 5.408438,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 28601.855469
} | {
"schwarzschild_radius_km": 15846.359965,
"time_dilation": 0.99084,
"redshift": 0.009245,
"frame_dragging": false,
"orbital_period_s": 190.891526,
"extremeness_score": 1.018489,
"is_near_horizon": false,
"frame_drag_value": -0.000333041,
"metric_tensor": [
[
-0.981766,
0,
0,
... | {
"mass_kg": 1.0669282234114304e+34,
"radius_m": 868962422.224257,
"theta_rad": 3.050733,
"phi_rad": 5.408438,
"spin": 0.994129,
"rs_m": 15846359.965399,
"event_horizon_m": 8780468.716386
} | Spin=0.994, Time dilation=0.991, Redshift=0.009 |
20 | {
"mass_solar": 3.758137,
"spin": 0.71928,
"type": "Kerr"
} | {
"r_km": 1559.466812,
"theta_rad": 1.686942,
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} | Spin=0.719, Time dilation=0.996, Redshift=0.004 |
21 | {
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} | Spin=0.111, Time dilation=0.984, Redshift=0.017 |
22 | {
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23 | {
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} | {
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} | Spin=0.298, Time dilation=0.995, Redshift=0.005 |
24 | {
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} | Spin=0.538, Time dilation=0.998, Redshift=0.002 |
25 | {
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} | {
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} | Spin=0.019, Time dilation=0.999, Redshift=0.001 |
26 | {
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} | Spin=0.058, Time dilation=0.999, Redshift=0.001 |
27 | {
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} | {
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} | {
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} | Spin=0.069, Time dilation=0.998, Redshift=0.002 |
28 | {
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} | {
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} | {
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} | Spin=0.549, Time dilation=0.952, Redshift=0.050 |
29 | {
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} | {
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} | {
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} | Spin=0.538, Time dilation=0.997, Redshift=0.003 |
30 | {
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} | {
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} | {
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} | Spin=0.649, Time dilation=0.984, Redshift=0.016 |
31 | {
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} | {
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} | {
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} | Spin=0.337, Time dilation=0.994, Redshift=0.006 |
32 | {
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} | {
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} | {
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} | Spin=0.630, Time dilation=0.940, Redshift=0.064 |
33 | {
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} | {
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} | {
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[
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} | Spin=0.238, Time dilation=0.996, Redshift=0.004 |
34 | {
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} | {
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} | {
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[
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} | Spin=0.570, Time dilation=0.987, Redshift=0.013 |
35 | {
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} | {
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} | {
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} | Spin=0.097, Time dilation=0.983, Redshift=0.017 |
36 | {
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} | {
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} | {
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} | Spin=0.672, Time dilation=0.999, Redshift=0.001 |
37 | {
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} | {
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} | {
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} | Spin=0.860, Time dilation=0.947, Redshift=0.056 |
38 | {
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} | {
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} | {
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} | Spin=0.278, Time dilation=0.948, Redshift=0.055 |
39 | {
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} | {
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} | {
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[
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"spin": 0.549225,
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} | Spin=0.549, Time dilation=0.807, Redshift=0.239 |
40 | {
"mass_solar": 544200404.420355,
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} | {
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41 | {
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} | Spin=0.400, Time dilation=0.817, Redshift=0.223 |
42 | {
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} | {
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} | Spin=0.783, Time dilation=0.985, Redshift=0.015 |
43 | {
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} | {
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44 | {
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} | {
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} | Spin=0.578, Time dilation=0.992, Redshift=0.009 |
45 | {
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} | {
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} | Spin=0.502, Time dilation=0.999, Redshift=0.001 |
46 | {
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} | {
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} | Spin=0.185, Time dilation=0.994, Redshift=0.006 |
47 | {
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} | {
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} | Spin=0.889, Time dilation=0.946, Redshift=0.057 |
48 | {
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} | {
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} | Spin=0.583, Time dilation=0.990, Redshift=0.010 |
49 | {
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} | {
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} | Spin=0.238, Time dilation=0.979, Redshift=0.021 |
50 | {
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} | {
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} | Spin=0.750, Time dilation=0.834, Redshift=0.199 |
51 | {
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} | {
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} | Spin=0.073, Time dilation=0.934, Redshift=0.071 |
52 | {
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} | {
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} | Spin=0.878, Time dilation=0.975, Redshift=0.025 |
53 | {
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} | {
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} | Spin=0.610, Time dilation=0.999, Redshift=0.001 |
54 | {
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} | {
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} | {
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} | Spin=0.299, Time dilation=0.996, Redshift=0.004 |
55 | {
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} | {
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} | {
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-4... | {
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} | Spin=0.107, Time dilation=0.992, Redshift=0.008 |
56 | {
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} | {
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} | {
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} | Spin=0.203, Time dilation=0.995, Redshift=0.005 |
57 | {
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} | {
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} | Spin=0.844, Time dilation=0.855, Redshift=0.170 |
58 | {
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} | {
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} | {
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} | Spin=0.770, Time dilation=0.995, Redshift=0.005 |
59 | {
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} | {
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} | Spin=0.427, Time dilation=0.743, Redshift=0.347 |
60 | {
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} | {
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} | {
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61 | {
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} | Spin=0.308, Time dilation=0.999, Redshift=0.001 |
62 | {
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63 | {
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64 | {
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65 | {
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66 | {
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67 | {
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68 | {
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69 | {
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} | {
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} | Spin=0.965, Time dilation=0.956, Redshift=0.046 |
70 | {
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} | Spin=0.535, Time dilation=0.999, Redshift=0.001 |
71 | {
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} | {
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} | Spin=0.961, Time dilation=0.953, Redshift=0.050 |
72 | {
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} | {
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} | Spin=0.313, Time dilation=0.994, Redshift=0.006 |
73 | {
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} | {
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} | {
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} | Spin=0.254, Time dilation=0.997, Redshift=0.003 |
74 | {
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} | {
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} | {
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} | Spin=0.718, Time dilation=0.998, Redshift=0.002 |
75 | {
"mass_solar": 11.844032,
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} | {
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} | {
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[
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} | Spin=0.663, Time dilation=0.968, Redshift=0.033 |
76 | {
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} | {
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} | {
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} | Spin=0.300, Time dilation=0.964, Redshift=0.037 |
77 | {
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} | {
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} | {
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} | Spin=0.127, Time dilation=0.982, Redshift=0.018 |
78 | {
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} | {
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} | Spin=0.614, Time dilation=0.962, Redshift=0.039 |
79 | {
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} | {
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} | {
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} | Spin=0.429, Time dilation=0.993, Redshift=0.007 |
80 | {
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} | {
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} | {
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"spin": 0.213274,
"rs_m": 51988701.081125,
"event_horizon_m": 51390634.153923
} | Spin=0.213, Time dilation=0.987, Redshift=0.013 |
81 | {
"mass_solar": 83.826329,
"spin": 0.084626,
"type": "Kerr"
} | {
"r_km": 12479.021894,
"theta_rad": 1.988442,
"phi_rad": 2.10605,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 29855.615234
} | {
"schwarzschild_radius_km": 247.567599,
"time_dilation": 0.990031,
"redshift": 0.010069,
"frame_dragging": false,
"orbital_period_s": 2.62624,
"extremeness_score": 1.020139,
"is_near_horizon": false,
"frame_drag_value": -0.024292707,
"metric_tensor": [
[
-0.980161,
0,
0,
-... | {
"mass_kg": 1.6668614084222158e+32,
"radius_m": 12479021.893584,
"theta_rad": 1.988442,
"phi_rad": 2.10605,
"spin": 0.084626,
"rs_m": 247567.599307,
"event_horizon_m": 247123.560901
} | Spin=0.085, Time dilation=0.990, Redshift=0.010 |
82 | {
"mass_solar": 28342960.090595,
"spin": 0.749636,
"type": "Kerr"
} | {
"r_km": 11132100586.543493,
"theta_rad": 0.705729,
"phi_rad": 1.25117,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 18378.980469
} | {
"schwarzschild_radius_km": 83706380.239903,
"time_dilation": 0.996233,
"redshift": 0.003781,
"frame_dragging": false,
"orbital_period_s": 3805709.143106,
"extremeness_score": 1.007562,
"is_near_horizon": false,
"frame_drag_value": -7e-9,
"metric_tensor": [
[
-0.992481,
0,
0,
... | {
"mass_kg": 5.635912585134473e+37,
"radius_m": 11132100586543.494,
"theta_rad": 0.705729,
"phi_rad": 1.25117,
"spin": 0.749636,
"rs_m": 83706380239.90298,
"event_horizon_m": 69553744647.74896
} | Spin=0.750, Time dilation=0.996, Redshift=0.004 |
83 | {
"mass_solar": 4.845023,
"spin": 0.244353,
"type": "Kerr"
} | {
"r_km": 562.521931,
"theta_rad": 2.66953,
"phi_rad": 0.457593,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 33797.796875
} | {
"schwarzschild_radius_km": 14.308998,
"time_dilation": 0.987199,
"redshift": 0.012967,
"frame_dragging": false,
"orbital_period_s": 0.104576,
"extremeness_score": 1.025933,
"is_near_horizon": false,
"frame_drag_value": -0.800395966,
"metric_tensor": [
[
-0.974563,
0,
0,
-... | {
"mass_kg": 9.634183540858965e+30,
"radius_m": 562521.931003,
"theta_rad": 2.66953,
"phi_rad": 0.457593,
"spin": 0.244353,
"rs_m": 14308.998207,
"event_horizon_m": 14092.119458
} | Spin=0.244, Time dilation=0.987, Redshift=0.013 |
84 | {
"mass_solar": 10217.666856,
"spin": 0.628506,
"type": "Kerr"
} | {
"r_km": 210154.800676,
"theta_rad": 2.187661,
"phi_rad": 3.106263,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 79368.664062
} | {
"schwarzschild_radius_km": 30176.237918,
"time_dilation": 0.925424,
"redshift": 0.080586,
"frame_dragging": false,
"orbital_period_s": 16.636812,
"extremeness_score": 1.161172,
"is_near_horizon": false,
"frame_drag_value": -0.035368949,
"metric_tensor": [
[
-0.856507,
0,
0,
... | {
"mass_kg": 2.0317524012702307e+34,
"radius_m": 210154800.675985,
"theta_rad": 2.187661,
"phi_rad": 3.106263,
"spin": 0.628506,
"rs_m": 30176237.917999,
"event_horizon_m": 26823731.177739
} | Spin=0.629, Time dilation=0.925, Redshift=0.081 |
85 | {
"mass_solar": 360.222677,
"spin": 0.654746,
"type": "Kerr"
} | {
"r_km": 2311.806643,
"theta_rad": 2.359224,
"phi_rad": 4.838343,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 134112.734375
} | {
"schwarzschild_radius_km": 1063.859817,
"time_dilation": 0.734721,
"redshift": 0.361061,
"frame_dragging": true,
"orbital_period_s": 0.108308,
"extremeness_score": 1.722123,
"is_near_horizon": false,
"frame_drag_value": -26.651824951,
"metric_tensor": [
[
-0.545009,
0,
0,
... | {
"mass_kg": 7.162919859002132e+32,
"radius_m": 2311806.643206,
"theta_rad": 2.359224,
"phi_rad": 4.838343,
"spin": 0.654746,
"rs_m": 1063859.817356,
"event_horizon_m": 933988.634136
} | Spin=0.655, Time dilation=0.735, Redshift=0.361 |
86 | {
"mass_solar": 24.296956,
"spin": 0.424296,
"type": "Kerr"
} | {
"r_km": 445.728571,
"theta_rad": 3.009539,
"phi_rad": 3.254425,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 84239.367188
} | {
"schwarzschild_radius_km": 71.757156,
"time_dilation": 0.915976,
"redshift": 0.091732,
"frame_dragging": false,
"orbital_period_s": 0.033246,
"extremeness_score": 1.183464,
"is_near_horizon": false,
"frame_drag_value": -19.335952759,
"metric_tensor": [
[
-0.839196,
0,
0,
... | {
"mass_kg": 4.831376719699255e+31,
"radius_m": 445728.571028,
"theta_rad": 3.009539,
"phi_rad": 3.254425,
"spin": 0.424296,
"rs_m": 71757.155682,
"event_horizon_m": 68367.476766
} | Spin=0.424, Time dilation=0.916, Redshift=0.092 |
87 | {
"mass_solar": 8.037601,
"spin": 0.2487,
"type": "Kerr"
} | {
"r_km": 9317.89508,
"theta_rad": 1.434017,
"phi_rad": 5.035449,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 10699.458984
} | {
"schwarzschild_radius_km": 23.737765,
"time_dilation": 0.998725,
"redshift": 0.001276,
"frame_dragging": false,
"orbital_period_s": 5.471872,
"extremeness_score": 1.002552,
"is_near_horizon": false,
"frame_drag_value": -0.001478434,
"metric_tensor": [
[
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0,
0,
-... | {
"mass_kg": 1.5982529151330577e+31,
"radius_m": 9317895.079816,
"theta_rad": 1.434017,
"phi_rad": 5.035449,
"spin": 0.2487,
"rs_m": 23737.764597,
"event_horizon_m": 23364.851372
} | Spin=0.249, Time dilation=0.999, Redshift=0.001 |
88 | {
"mass_solar": 1468267.962439,
"spin": 0.985917,
"type": "Kerr"
} | {
"r_km": 357955222.673643,
"theta_rad": 2.984637,
"phi_rad": 5.600994,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 23321.09375
} | {
"schwarzschild_radius_km": 4336293.596899,
"time_dilation": 0.993924,
"redshift": 0.006113,
"frame_dragging": false,
"orbital_period_s": 96440.547628,
"extremeness_score": 1.012225,
"is_near_horizon": false,
"frame_drag_value": -4.29e-7,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 2.919606795271364e+36,
"radius_m": 357955222673.6426,
"theta_rad": 2.984637,
"phi_rad": 5.600994,
"spin": 0.985917,
"rs_m": 4336293596.898615,
"event_horizon_m": 2530741872.927454
} | Spin=0.986, Time dilation=0.994, Redshift=0.006 |
89 | {
"mass_solar": 499669.35488,
"spin": 0.717835,
"type": "Kerr"
} | {
"r_km": 69646708.453545,
"theta_rad": 2.60931,
"phi_rad": 3.442381,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 30832.84375
} | {
"schwarzschild_radius_km": 1475693.183779,
"time_dilation": 0.989349,
"redshift": 0.010766,
"frame_dragging": false,
"orbital_period_s": 14192.761236,
"extremeness_score": 1.021531,
"is_near_horizon": false,
"frame_drag_value": -0.000005116,
"metric_tensor": [
[
-0.978813,
0,
0... | {
"mass_kg": 9.935775220984192e+35,
"radius_m": 69646708453.5453,
"theta_rad": 2.60931,
"phi_rad": 3.442381,
"spin": 0.717835,
"rs_m": 1475693183.779331,
"event_horizon_m": 1251544863.513494
} | Spin=0.718, Time dilation=0.989, Redshift=0.011 |
90 | {
"mass_solar": 133020056.468099,
"spin": 0.742168,
"type": "Kerr"
} | {
"r_km": 15400110160.255808,
"theta_rad": 0.814274,
"phi_rad": 1.553453,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 33821.664062
} | {
"schwarzschild_radius_km": 392853371.371996,
"time_dilation": 0.987163,
"redshift": 0.013004,
"frame_dragging": false,
"orbital_period_s": 2860939.896908,
"extremeness_score": 1.026008,
"is_near_horizon": false,
"frame_drag_value": -3.1e-8,
"metric_tensor": [
[
-0.974491,
0,
0,... | {
"mass_kg": 2.6450639168512007e+38,
"radius_m": 15400110160255.809,
"theta_rad": 0.814274,
"phi_rad": 1.553453,
"spin": 0.742168,
"rs_m": 392853371371.99567,
"event_horizon_m": 328074550454.19055
} | Spin=0.742, Time dilation=0.987, Redshift=0.013 |
91 | {
"mass_solar": 816267.228709,
"spin": 0.764282,
"type": "Kerr"
} | {
"r_km": 125977095.964802,
"theta_rad": 1.968988,
"phi_rad": 1.725347,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 29303.683594
} | {
"schwarzschild_radius_km": 2410714.152837,
"time_dilation": 0.990386,
"redshift": 0.009708,
"frame_dragging": false,
"orbital_period_s": 27011.53378,
"extremeness_score": 1.019415,
"is_near_horizon": false,
"frame_drag_value": -0.000002426,
"metric_tensor": [
[
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0,
0,... | {
"mass_kg": 1.623122896271309e+36,
"radius_m": 125977095964.80217,
"theta_rad": 1.968988,
"phi_rad": 1.725347,
"spin": 0.764282,
"rs_m": 2410714152.837363,
"event_horizon_m": 1982670292.713402
} | Spin=0.764, Time dilation=0.990, Redshift=0.010 |
92 | {
"mass_solar": 13.724688,
"spin": 0.285157,
"type": "Kerr"
} | {
"r_km": 454.599137,
"theta_rad": 1.004397,
"phi_rad": 3.393877,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 63129.90625
} | {
"schwarzschild_radius_km": 40.533662,
"time_dilation": 0.954378,
"redshift": 0.047803,
"frame_dragging": false,
"orbital_period_s": 0.045245,
"extremeness_score": 1.095607,
"is_near_horizon": false,
"frame_drag_value": -7.029006958,
"metric_tensor": [
[
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0,
0,
-... | {
"mass_kg": 2.7291130596403148e+31,
"radius_m": 454599.137006,
"theta_rad": 1.004397,
"phi_rad": 3.393877,
"spin": 0.285157,
"rs_m": 40533.661947,
"event_horizon_m": 39692.201617
} | Spin=0.285, Time dilation=0.954, Redshift=0.048 |
93 | {
"mass_solar": 45.338443,
"spin": 0.230799,
"type": "Kerr"
} | {
"r_km": 20288.25392,
"theta_rad": 2.219281,
"phi_rad": 0.403562,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 17220.84375
} | {
"schwarzschild_radius_km": 133.89981,
"time_dilation": 0.996695,
"redshift": 0.003316,
"frame_dragging": false,
"orbital_period_s": 7.402359,
"extremeness_score": 1.006633,
"is_near_horizon": false,
"frame_drag_value": -0.002852082,
"metric_tensor": [
[
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0,
0,
-64... | {
"mass_kg": 9.015413393605573e+31,
"radius_m": 20288253.91968,
"theta_rad": 2.219281,
"phi_rad": 0.403562,
"spin": 0.230799,
"rs_m": 133899.809507,
"event_horizon_m": 132092.259839
} | Spin=0.231, Time dilation=0.997, Redshift=0.003 |
94 | {
"mass_solar": 8933.90354,
"spin": 0.541526,
"type": "Kerr"
} | {
"r_km": 719326.619649,
"theta_rad": 0.649789,
"phi_rad": 2.63984,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 40544.902344
} | {
"schwarzschild_radius_km": 26384.84916,
"time_dilation": 0.981489,
"redshift": 0.01886,
"frame_dragging": false,
"orbital_period_s": 111.473013,
"extremeness_score": 1.037721,
"is_near_horizon": false,
"frame_drag_value": -0.001140304,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 1.7764799171707084e+34,
"radius_m": 719326619.648914,
"theta_rad": 0.649789,
"phi_rad": 2.63984,
"spin": 0.541526,
"rs_m": 26384849.159561,
"event_horizon_m": 24283085.567352
} | Spin=0.542, Time dilation=0.981, Redshift=0.019 |
95 | {
"mass_solar": 154507615.329418,
"spin": 0.582911,
"type": "Kerr"
} | {
"r_km": 69813686968.06926,
"theta_rad": 2.691503,
"phi_rad": 4.810373,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 17136.404297
} | {
"schwarzschild_radius_km": 456313425.181611,
"time_dilation": 0.996727,
"redshift": 0.003284,
"frame_dragging": false,
"orbital_period_s": 25597688.293178,
"extremeness_score": 1.006568,
"is_near_horizon": false,
"frame_drag_value": -1e-9,
"metric_tensor": [
[
-0.993464,
0,
0,
... | {
"mass_kg": 3.07233757854088e+38,
"radius_m": 69813686968069.26,
"theta_rad": 2.691503,
"phi_rad": 4.810373,
"spin": 0.582911,
"rs_m": 456313425181.6106,
"event_horizon_m": 413542215488.32556
} | Spin=0.583, Time dilation=0.997, Redshift=0.003 |
96 | {
"mass_solar": 5236.759645,
"spin": 0.005884,
"type": "Kerr"
} | {
"r_km": 284137.285655,
"theta_rad": 2.367112,
"phi_rad": 5.362372,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 49455.902344
} | {
"schwarzschild_radius_km": 15465.928495,
"time_dilation": 0.972404,
"redshift": 0.02838,
"frame_dragging": false,
"orbital_period_s": 36.098567,
"extremeness_score": 1.056759,
"is_near_horizon": false,
"frame_drag_value": -0.004944354,
"metric_tensor": [
[
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0,
0,
... | {
"mass_kg": 1.041313945167542e+34,
"radius_m": 284137285.655168,
"theta_rad": 2.367112,
"phi_rad": 5.362372,
"spin": 0.005884,
"rs_m": 15465928.494565,
"event_horizon_m": 15465794.616905
} | Spin=0.006, Time dilation=0.972, Redshift=0.028 |
97 | {
"mass_solar": 400952034.563529,
"spin": 0.418183,
"type": "Kerr"
} | {
"r_km": 249636513364.702,
"theta_rad": 1.715725,
"phi_rad": 3.790348,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 14599.351562
} | {
"schwarzschild_radius_km": 1184147433.99631,
"time_dilation": 0.997625,
"redshift": 0.00238,
"frame_dragging": false,
"orbital_period_s": 107437135.927746,
"extremeness_score": 1.00476,
"is_near_horizon": false,
"frame_drag_value": 0,
"metric_tensor": [
[
-0.995257,
0,
0,
... | {
"mass_kg": 7.972810921685404e+38,
"radius_m": 249636513364702,
"theta_rad": 1.715725,
"phi_rad": 3.790348,
"spin": 0.418183,
"rs_m": 1184147433996.3103,
"event_horizon_m": 1129891391622.078
} | Spin=0.418, Time dilation=0.998, Redshift=0.002 |
98 | {
"mass_solar": 227.376619,
"spin": 0.218983,
"type": "Kerr"
} | {
"r_km": 20718.181043,
"theta_rad": 0.091184,
"phi_rad": 2.111964,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 38147.257812
} | {
"schwarzschild_radius_km": 671.520324,
"time_dilation": 0.98366,
"redshift": 0.016611,
"frame_dragging": false,
"orbital_period_s": 3.412465,
"extremeness_score": 1.033222,
"is_near_horizon": false,
"frame_drag_value": -0.031430483,
"metric_tensor": [
[
-0.967588,
0,
0,
-... | {
"mass_kg": 4.521315862855188e+32,
"radius_m": 20718181.043493,
"theta_rad": 0.091184,
"phi_rad": 2.111964,
"spin": 0.218983,
"rs_m": 671520.324497,
"event_horizon_m": 663370.995941
} | Spin=0.219, Time dilation=0.984, Redshift=0.017 |
99 | {
"mass_solar": 1842320.529763,
"spin": 0.403508,
"type": "Kerr"
} | {
"r_km": 31611961.166443,
"theta_rad": 1.468349,
"phi_rad": 0.801909,
"v_r_km_s": 0,
"v_theta_rad_s": 0,
"v_phi_rad_s": 87059.765625
} | {
"schwarzschild_radius_km": 5440997.77494,
"time_dilation": 0.90988,
"redshift": 0.099046,
"frame_dragging": false,
"orbital_period_s": 2281.465139,
"extremeness_score": 1.198092,
"is_near_horizon": false,
"frame_drag_value": -0.000303608,
"metric_tensor": [
[
-0.827884,
0,
0,
... | {
"mass_kg": 3.663399103818432e+36,
"radius_m": 31611961166.44309,
"theta_rad": 1.468349,
"phi_rad": 0.801909,
"spin": 0.403508,
"rs_m": 5440997774.940273,
"event_horizon_m": 5209690351.773418
} | Spin=0.404, Time dilation=0.910, Redshift=0.099 |
End of preview. Expand in Data Studio
🕳️ Black Hole Sim — Randomized Dataset (ProCreations)
ProCreations/black-hole-sim-randomized is a high-fidelity, randomized simulation dataset of relativistic physics near Kerr and Schwarzschild black holes. Designed to train and evaluate AI systems on general relativity, orbital mechanics, and spacetime geometry—without any visual dependencies.
📦 Dataset Overview
- Samples: 400,000+
- Format: JSON Lines (
.jsonl) - Size: ~583 MB
- Compression: Optionally
.jsonl.gz - Language/Structure: Pure structured JSON (1 per line)
- Generated on: Apple Silicon (Metal-accelerated)
- Use cases: Pretraining, fine-tuning, RAG, reasoning, QA, simulation
✨ Features per Sample
Each sample describes a single randomly sampled scenario, containing:
🕳️ Black Hole
mass_solar– In solar masses (randomized log-uniform from 3 to 1e9)spin– Kerr spin parametera(0.0 to 0.998)type–"Schwarzschild"or"Kerr"
👁️ Observer
- 3D position (
r_km,theta_rad,phi_rad) - Orbital velocity vector in spherical coordinates
- Orbital angular velocity
omega
📐 Metrics (GR & physics)
time_dilation,redshift,gammaorbital_period_s,frame_dragging,extremeness_scoremetric_tensor– Full 4x4 Kerr metric in Boyer–Lindquist coordinatesa_spin_m,event_horizon_m,delta,rho_squared- Velocity vector + coordinate positions
horizon_proximity_ratio(how close the observer is to Rs)
🧪 Raw Parameters
- Ground truth values like
mass_kg,radius_m,rs_m
📁 Example
{
"step": 2,
"black_hole": {
"mass_solar": 219.051486,
"spin": 0.504345,
"type": "Kerr"
},
"observer": {
"r_km": 1600.060345,
"theta_rad": 0.624667,
"phi_rad": 4.083344,
"v_phi_rad_s": 128884.609375
},
"metrics": {
"time_dilation": 0.771804,
"redshift": 0.295665,
"frame_dragging": true,
"metric_tensor": [[...]],
"horizon_proximity_ratio": 2.654,
"gr_metric_type": "Kerr"
},
"notes": "Spin=0.504, Time dilation=0.772, Redshift=0.296"
}
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