Thermodynamics of EMD-AdS black hole with deformed horizon

TL;DR

This paper investigates how the horizon shapes of static Einstein-Maxwell-dilaton black holes can be deformed to introduce anisotropy, affecting their thermodynamic properties and exploring the validity of the Misner-Sharp mass and first law.

Contribution

It introduces a novel approach to deform black hole horizons in EMD solutions, revealing anisotropic features and analyzing their thermodynamic implications.

Findings

Horizon shapes can be deformed with anisotropic features.

Radial spacetime remains unchanged during deformation.

Thermodynamic properties are affected by horizon anisotropy.

Abstract

We show that the horizon shapes of static Einstein-Maxwell-dilaton (EMD) black holes can be deformed through an approach analogous to those observed in novel topological black hole solutions supported by two massless axion fields. Particularly, the radial part of the spacetime remains unchanged, while the angular part has a non-constant Ricci scalar, signaling the presence of anisotropy. We further explore the implications of this anisotropy for the thermodynamic properties of the black hole. The validity of the Misner-Sharp (MS) mass and the unified first law are also addressed in this study.