Thermodynamics of charged Lifshitz black holes with scalar hair

TL;DR

This paper explores the thermodynamics and stability of charged Lifshitz black holes with scalar hair within a generalized Einstein-Maxwell-Dilaton framework, revealing conditions for their thermodynamic stability.

Contribution

It introduces new charged Lifshitz black hole solutions with scalar hair in 4D and analyzes their thermodynamic properties and stability criteria.

Findings

Derived the first law of thermodynamics for these black holes

Identified stable regions based on heat capacity analysis

Presented explicit black hole solutions with scalar hair

Abstract

In this work, we discuss the generalized Einstein-Maxwell-Dilaton gravity theory with a nonminimal coupling between the Maxwell field and scalar field. Considering different geometric properties of black hole horizon structure, the charged dilaton Lifshitz black hole solutions are presented in 4-dimensional spacetimes. Later, utilizing the Wald Formalism, we derive the thermodynamic first law of black hole and conserved quantities. According to the relationship between the heat capacity and the local stability of black hole, we study the stability of charged Lifshitz black holes and identify the thermodynamic stable region of black holes that meet the criteria.