$AdS_{5}$ black hole at N=2 supergravity

TL;DR

This paper investigates the thermodynamics and wave function behavior of charged non-extremal AdS_5 black holes in N=2 supergravity, analyzing effects of perturbations and higher derivative corrections.

Contribution

It provides a detailed analysis of the thermodynamics, wave equations, and perturbations of AdS_5 black holes within N=2 supergravity, including effects of higher derivative corrections.

Findings

Effective potential derived from Schrodinger-like equation.

Presence of odd coefficients in wave function with dilaton perturbations.

Higher derivative corrections do not affect first and second even coefficients.

Abstract

In this paper, we consider the charged non-extremal black hole at five dimensional N = 2 supergravity. We study thermodynamics of AdS_{5} black hole with three equal charges (q_{1} = q_{2} = q_{3} = q). We obtain Schrodinger like equation and discuss the effective potential. Then, we consider the case of the perturbed dilaton field background and find presence of odd coefficients of the wave function. Also we find that the higher derivative corrections have no effect on the first and second even coefficients of the wave function.