Chaotic light scattering around extremal black holes

Martijn Kluitenberg, Diederik Roest, Marcello Seri*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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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.
Original languageEnglish
Pages (from-to)381–396
Number of pages16
JournalBollettino dell'Unione Matematica Italiana
Volume16
Early online date5-Jan-2023
DOIs
Publication statusPublished - Jun-2023

Keywords

  • gr-qc
  • math-ph
  • math.MP
  • 37B10, 34C28, 34L25, 83C57

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