Polar plot for the event horizon of a Kerr BH

AI Thread Summary
The discussion focuses on a user's attempt to create a polar plot of the event horizon of a Kerr black hole, noting an issue where the intersection of the event horizon and static limit appears on the x-axis instead of the y-axis. The user is seeking guidance on potential mistakes in their plotting commands and expresses a desire to keep the plot in 2D rather than 3D. A suggestion is made to replace the cosine function with sine in the plotting commands to correct the issue. This indicates that the mathematical representation of the event horizon may need adjustment to align correctly with expected coordinates.
Sumarna
Messages
6
Reaction score
0
I have made graph of event horizon of Kerr black hole by giving simple command of polar plot. The problem is that the point where the event horizon and static limit meets should be along y-axis but instead its on x-axis. I have tried everything but not getting it right.

What mistake I am making? Am i giving wrong command? I do not want it in 3D.

M = 1;
a = .7;
p1 = PolarPlot[-M + Sqrt[M^2 - a^2 (Cos[\[Theta]])^2], {\[Theta], 0,
2 \[Pi]}];
p2 = PolarPlot[-M - Sqrt[M^2 - a^2 (Cos[\[Theta]])^2], {\[Theta], 0,
2 \[Pi]}];
p3 = PolarPlot[-M - Sqrt[M^2 - a^2], {\[Theta], 0, 2 \[Pi]}];
p4 = PolarPlot[-M + Sqrt[M^2 - a^2], {\[Theta], 0, 2 \[Pi]}];
Show[p1, p2, p3, p4]
 
Physics news on Phys.org
Just use the Sine instead of the Cosine:

bl.vs.ks.png
 

Similar threads

Replies
1
Views
2K
Replies
2
Views
2K
Replies
2
Views
1K
Replies
1
Views
2K
Back
Top