Quasi-normal modes of toroidal, cylindrical and planar black holes in anti-de Sitter spacetimes: scalar, electromagnetic and gravitational perturbations

TL;DR

This paper analyzes the quasi-normal modes of various perturbations in black holes with different horizon topologies in anti-de Sitter spacetime, linking decay rates to thermalization in dual conformal field theories.

Contribution

It provides a detailed study of scalar, electromagnetic, and gravitational QNMs for black holes with toroidal, cylindrical, and planar horizons in AdS space, extending previous analyses.

Findings

Computed QNM frequencies for different perturbations and topologies.

Linked decay timescales to thermalization in dual CFTs.

Enhanced understanding of black hole perturbations in AdS contexts.

Abstract

We study the quasi-normal modes (QNM) of scalar, electromagnetic and gravitational perturbations of black holes in general relativity whose horizons have toroidal, cylindrical or planar topology in an asymptotically anti-de Sitter (AdS) spacetime. The associated quasinormal frequencies describe the decay in time of the corresponding test field in the vicinities of the black hole. In terms of the AdS/CFT conjecture, the inverse of the frequency is a measure of the dynamical timescale of approach to thermal equilibrium of the corresponding conformal field theory.