On the thermodynamics of Lifshitz black holes

TL;DR

This paper computes energies, temperature, and entropy of Lifshitz black holes in higher dimensions using an extended conserved charge formalism, discusses thermodynamic laws, and explores critical points in quadratic curvature gravity theories.

Contribution

It applies a new extended conserved charge method to Lifshitz black holes and analyzes their thermodynamics and critical points, advancing understanding of higher-dimensional black hole solutions.

Findings

Computed energies of Lifshitz black holes in higher dimensions.

Analyzed the first law of thermodynamics for these solutions.

Identified critical points in quadratic curvature gravity theories.

Abstract

We apply the recently extended conserved Killing charge definition of Abbott-Deser-Tekin formalism to compute, for the first time, the energies of analytic Lifshitz black holes in higher dimensions. We then calculate the temperature and the entropy of this large family of solutions, and study and discuss the first law of black hole thermodynamics. Along the way we also identify the possible critical points of the relevant quadratic curvature gravity theories. Separately, we also apply the generalized Killing charge definition to compute the energy and the angular momentum of the warped AdS_3 black hole solution of the three-dimensional New Massive Gravity theory.