File:Kerr-Flächen.png

• Animation einschalten

Summary[edit]

DescriptionKerr-Flächen.png	Deutsch: Ergosphären, Ereignishorizonte und Ringsingularität eines rotierenden schwarzen Lochs - Animation einschalten
Date	20 June 2017
Source	Own work
Author	Yukterez (Simon Tyran, Vienna)
Other versions

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:

This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

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.

https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue

Code[edit]

rE=1+Sqrt[1-a^2 Cos[θ]^2-Q^2]; RE[A_]:={Sqrt[rE^2+A^2] Sin[θ]Cos[φ],Sqrt[rE^2+A^2] Sin[θ]Sin[φ],rE Cos[θ]}; (* äußere Ergosphäre *)
rG=1-Sqrt[1-a^2 Cos[θ]^2-Q^2]; RG[A_]:={Sqrt[rG^2+A^2] Sin[θ]Cos[φ],Sqrt[rG^2+A^2] Sin[θ]Sin[φ],rG Cos[θ]}; (* innere Ergosphäre *)
rA=1+Sqrt[1-a^2-Q^2]; RA[A_]:={Sqrt[rA^2+A^2] Sin[θ]Cos[φ],Sqrt[rA^2+A^2] Sin[θ]Sin[φ],rA Cos[θ]};           (* äußerer Horizont *)
rI=1-Sqrt[1-a^2-Q^2]; RI[A_]:={Sqrt[rI^2+A^2] Sin[θ]Cos[φ],Sqrt[rI^2+A^2] Sin[θ]Sin[φ],rI Cos[θ]};           (* innerer Horizont *)
p[f_, c_]:=ParametricPlot3D[f, {φ, 0, 2 π}, {θ, 0, π}, PlotStyle -> Directive[c, Opacity[0.15]]]                 (* Plotfunktion *)
Q=0;                                                                                                 (* elektrische Ladung auf 0 *)
Do[Print[Show[p[RE[a], Blue], p[RA[a], Cyan], p[RI[a], Orange], p[RG[a], Red]], {a,0,1,0.1}]]               (* kartesisch, x,y,z *)
Do[Print[Show[p[RE[0], Blue], p[RA[0], Cyan], p[RI[0], Orange], p[RG[0], Red]], {a,0,1,0.1}]]          (* pseudosphärisch, r,θ,Ф *)

Comparison[edit]

• Boyer-Lindquist: doi:10.1139/p81-086 Nigel Sharp: On embeddings of the Kerr geometry; page 3, figure 3
• Kerr-Schild: Matt Visser: The Kerr spacetime, A brief introduction; page 35, figure 3
• Source: kerr.yukterez.net / kerr.newman.yukterez.net