Thermodynamics and and phase transition of topological dilatonic Lifshitz-like black holes

TL;DR

This paper explores the thermodynamics and phase transitions of Lifshitz-like black holes in scalar-tensor gravity, revealing how the Lifshitz parameter influences their phase structure and stability.

Contribution

It provides new Lifshitz-like black hole solutions in scalar-tensor gravity and analyzes their thermodynamic behavior and phase transitions.

Findings

Lifshitz parameter affects phase structure

Identifies first order van der Waals-like phase transition

Analyzes thermal stability via heat capacity and thermodynamic geometry

Abstract

It is known that scalar-tensor gravity models can be studied in Einstein and Jordan frames. In this paper, we consider a model of scalar-tensor gravity in Einstein's frame to calculate the Lifshitz-like black hole solutions with different horizon topologies. We study thermodynamic properties and first order van der Waals like phase transition, and find that the Lifshitz parameter affects the phase structure. In addition, we investigate thermal stability by using the behavior of heat capacity and various methods of geometrical thermodynamics.