File:Ergosphere and event horizons of a rotating black hole.gif

Ergosphere_and_event_horizons_of_a_rotating_black_hole.gif(494 × 494 pixels, file size: 841 KB, MIME type: image/gif, looped, 211 frames, 14 s)

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                                                                   (* 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: Kerr-Schild Plot[1], Boyer-Lindquist Plot [2]

Summary

Description
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. If a=0 both coordinate systems reduce to Schwarzschild.
Date
Source Own work
Author Yukterez (Simon Tyran, Vienna)
Other versions
German (deutsch) Ergosphäre und Ereignishorizonte eines rotierenden schwarzen Lochs.png

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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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Date/TimeThumbnailDimensionsUserComment
current05:44, 27 July 2016Thumbnail for version as of 05:44, 27 July 2016494 × 494 (841 KB)Yukterezchanged frame duration
02:38, 27 July 2016Thumbnail for version as of 02:38, 27 July 2016494 × 494 (841 KB)Yukterezchanged frame order
02:33, 27 July 2016Thumbnail for version as of 02:33, 27 July 2016494 × 494 (839 KB)Yukterezincreased contrast in order to reduce flickering on rescaled versions
02:09, 27 July 2016Thumbnail for version as of 02:09, 27 July 2016494 × 494 (545 KB)Yuktereztrying to reduce the flickering which occurs when embedding a rescaled image to a site by reducing the colors to 16
01:37, 27 July 2016Thumbnail for version as of 01:37, 27 July 2016494 × 494 (1.01 MB)Yukterezreduced file size and changed color coding to monochrome
23:55, 26 July 2016Thumbnail for version as of 23:55, 26 July 2016630 × 578 (3.84 MB)YukterezUser created page with UploadWizard

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