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

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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: [1][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. Animation: click here to start
Date
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Author Yukterez (Simon Tyran, Vienna)
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    Animation
  • Romanian
    Romanian

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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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