Quasinormal modes of Reissner-Nordstr$\ddot{o}$m Anti-de Sitter Black Holes

TL;DR

This paper computes the quasinormal mode frequencies of large Reissner-Nordström Anti-de Sitter black holes, revealing their dependence on charge and implications for thermalization in the dual CFT.

Contribution

It provides the first detailed analysis of how black hole charge affects quasinormal modes and thermalization times in the AdS/CFT framework.

Findings

Frequencies relate closely to black hole charge.

Higher charge leads to faster thermalization in the dual CFT.

Studied properties of modes for angular momentum l > 0.

Abstract

Complex frequencies associated with quasinormal modes for large Reissner-Nordstr$\ddot{o}$m Anti-de Sitter black holes have been computed. These frequencies have close relation to the black hole charge and do not linearly scale with the black hole temperature as in Schwarzschild Anti-de Sitter case. In terms of AdS/CFT correspondence, we found that the bigger the black hole charge is, the quicker for the approach to thermal equilibrium in the CFT. The properties of quasinormal modes for $l>0$ have also been studied.