File:Ergosphere and event horizon of a rotating black hole (no animation).gif

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Ergosphere_and_event_horizon_of_a_rotating_black_hole_(no_animation).gif(494 × 494 pixels, file size: 12 KB, MIME type: image/gif)



                                                                   (* r,θ,φ: A=0, x,y,z: A=a *)
 rE = M + Sqrt[M^2 - a^2 Cos[θ]^2]; {Sqrt[rE^2 + A^2] Sin[θ], rE Cos[θ]};      (* Ergosphäre *)
 rA = M + Sqrt[M^2 - a^2]; {Sqrt[rA^2 + A^2] Sin[θ], rA Cos[θ]}; (* äußerer Ereignishorizont *)
 rI = M - Sqrt[M^2 - a^2]; {Sqrt[rI^2 + A^2] Sin[θ], rI Cos[θ]}; (* innerer Ereignishorizont *)
Code: Mathematica Syntax
References: [1][2]

Summary

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English: Diagram of the static limit (ergosphere) and the inner and outer event horizons of a rotating black hole.
"a" is the Spin parameter of the rotating black hole; with a low spin-parameter the ergosphere converges to an ellipsoid, while with a high spin-parameter it resembles a pumpkin-shape. The axes are in units of GM/c². Animation: click here to start
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Author Yukterez (Simon Tyran, Vienna)
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References

  1. Matt Visser: The Kerr Spacetime, page 35, Fig. 3
  2. Edwin Taylor: The Spinning Black Hole, page 8, Fig. 3

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27 July 2016

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Date/TimeThumbnailDimensionsUserComment
current07:53, 6 July 2017Thumbnail for version as of 07:53, 6 July 2017494 × 494 (12 KB)Yukterezwarmer colors
03:46, 27 July 2016Thumbnail for version as of 03:46, 27 July 2016494 × 494 (11 KB)Yukterezchanged the Spin-parameter from 0.98 to 0.99 for easier comparability with the sources
03:40, 27 July 2016Thumbnail for version as of 03:40, 27 July 2016494 × 494 (11 KB)YukterezUser created page with UploadWizard
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