Phase Structure and QNMs of A Charged AdS Dilaton Black Hole

TL;DR

This paper explores the phase behavior of charged AdS dilaton black holes using extended phase space analysis and quasinormal modes, revealing stable phases across various couplings and highlighting parallels between thermodynamic and dynamic methods.

Contribution

It demonstrates the existence of stable black hole phases with non-trivial dilaton profiles for all couplings when considering the cosmological constant as a dynamical variable, contrasting previous studies.

Findings

Stable phases exist for both large and small couplings.

Thermal and quasinormal mode analyses show consistent results.

Provides new insights into black hole thermodynamics and perturbations.

Abstract

We investigate the phase structure of a charged AdS dilaton black hole in the extended phase space which takes the cosmological constant, i.e. the AdS-$\Lambda$ parameter as pressures. Through both thermal ensemble and quasinormal mode analysis, we find that stable phase of the black hole with non-trivial dilaton profiles always exists for both large and small couplings when the AdS-$\Lambda$ is considered dynamical degrees of freedom. This forms a somewhat contrast with previous works which does not do so. Our results provide new examples for the parallelism or equivalences between thermal ensemble methods and dynamic perturbation analysis for black hole phase structures.