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arXiv · 2211.06880

Chaotic light scattering around extremal black holes

Martijn Kluitenberg·Diederik Roest·Marcello Seri
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Abstract

We show that the scattering of light in the field of $N\geq 3$ 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 $N \geq 3$ black holes.

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Martijn Kluitenberg, Diederik Roest, Marcello Seri. 2022-11-13. Chaotic light scattering around extremal black holes. https://doi.org/10.1007/s40574-022-00345-5

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