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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

Description
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
Date
Source Own work
Author Yukterez (Simon Tyran, Vienna)
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I, the copyright holder of this work, hereby publish it under the following license:
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Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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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