Quasi-normal Modes and Thermal Fluctuations of Charged Black Hole with Weyl Corrections

TL;DR

This paper explores the thermodynamics, quasi-normal modes, and thermal fluctuations of charged black holes with Weyl corrections, revealing how thermal fluctuations influence black hole stability, especially in small black holes.

Contribution

It provides new insights into the thermodynamics and quasi-normal modes of Weyl-corrected charged black holes, including the impact of thermal fluctuations on their stability.

Findings

Thermodynamic quantities are derived for both rotating and non-rotating black holes.

Thermal fluctuations introduce logarithmic corrections that destabilize small black holes.

The relation between Davies's point and quasi-normal modes is discussed.

Abstract

In this paper, we study thermodynamics, quasi-normal modes and thermal fluctuations of a charged black hole with Weyl corrections. We first obtain thermodynamic quantities such as Hawking temperature, entropy, and heat capacity for non-rotating as well as rotating versions of this black hole. We also evaluate temperature through quantum tunneling mechanism which is exactly the same as found through surface gravity. We then discuss the relation between Davies's point and quasi-normal modes. Finally, we investigate the effects of thermal fluctuations on the uncorrected thermodynamic quantities. It is concluded that the logarithmic corrections originated from thermal fluctuations make the system more unstable for small BHs.