Chaotic light scattering around extremal black holes

Martijn Kluitenberg, Diederik Roest, Marcello Seri*

*Corresponding author voor dit werk

OnderzoeksoutputAcademicpeer review

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Samenvatting

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.
Originele taal-2English
Pagina's (van-tot)381–396
Aantal pagina's16
TijdschriftBollettino dell'Unione Matematica Italiana
Volume16
Vroegere onlinedatum5-jan.-2023
DOI's
StatusPublished - jun.-2023

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