Can a black hole horizon act as a source of Chaos?

A
Thread starter codebpr
Start date Nov 22, 2022
Tags

Act Black hole Chaos Chaos theory General relativity Hole Horizon Nonlinear dynamics Source String theory

In summary, the paper argues that on page 5, the majority of orbits in the given Poincare section form regular tori. However, some tori near the saddle point of the potential collapse and become scattered plots. This saddle point is associated with the black hole horizon, which confirms that the black hole horizon can act as a source of chaos. The speaker is confused about how the saddle point corresponds to the black hole horizon and whether it is necessary for it to cause chaos. They are requesting an explanation for clarification.

Nov 22, 2022

codebpr

I was going through this paper where on page 5 they argue that in the given Poincare section:

Most of the orbits form regular tori, while we can also see that some tori near the saddle point of the potential collapses to become scattered plots. This saddle point corresponds to the black hole horizon, hence we confirmed that a black hole horizon works as a source of chaos.

I am a bit confused by this statement. How does the given saddle point correspond to the black hole horizon and is it necessary that it acts as a source of chaos? Any explanation would be truly beneficial!