Chaotic light scattering around extremal black holes

2022/11/13 by Martijn Kluitenberg, Diederik Roest, Marcello Seri · 2 voices · 1 citation
Physics and Astronomy · #gr-qc #math-ph

paper · pdf · doi:10.1007/s40574-022-00345-5

arxiv published 2022/11/13 · arxiv updated 2022/12/22

Abstract

We show that the scattering of light in the field of N≥ 3 static extremal black holes is chaotic in the planar case. The relativistic dynamics of such extremal objects reduce to that of a classical Hamiltonian system. Certain values of the dilaton coupling then allow one to apply techniques from symbolic dynamics and classical potential scattering. This results in a lower bound on the topological entropy of order log(N-1), thus proving the emergence of chaotic scattering for N ≥ 3 black holes.

Cited by

• Classical Optics for Charged Black Holes

Discussions

• Yes! I learned of these black holes from here: arxiv.org/abs/2211.06880, and then read this which was helpful too! arxiv.org/abs/1603.04469 I then just wrote a numerical solver for the null geodesic [bsky, 2 points, 0 comments]
• Put two or more static charged black holes and it becomes chaotic. We did not make pictures for it but they could probably be fun: arxiv.org/abs/2211.06880 [bsky, 1 points, 1 comments]