Thermodynamics, Phase Transition and Quasinormal modes with Weyl corrections

TL;DR

This paper investigates charged black holes in AdS space with Weyl corrections, analyzing their thermodynamics, phase transitions, and quasinormal modes, revealing that quasinormal frequencies reflect phase transition behavior.

Contribution

It provides a perturbative solution for Weyl-corrected black holes in various dimensions and links quasinormal modes to phase transition phenomena.

Findings

First law of thermodynamics holds in all dimensions.

Quasinormal frequencies indicate phase transition points.

Subtleties near the second order critical point are discussed.

Abstract

We study charged black holes in D dimensional AdS space, in the presence of four derivative Weyl correction. We obtain the black hole solution perturbatively up to first as well as second order in the Weyl coupling, and show that first law of black hole thermodynamics is satisfied in all dimensions. We study its thermodynamic phase transition and then calculate the quasinormal frequencies of the massless scalar field perturbation. We find that, here too, the quasinormal frequencies capture the essence of black hole phase transition. Few subtleties near the second order critical point are discussed.