Black holes and black branes in Lifshitz spacetimes

TL;DR

This paper constructs analytic black hole and black brane solutions in Lifshitz spacetimes with various dynamical exponents, analyzing their phase structures and thermodynamic stability across different dimensions.

Contribution

It provides the first analytic solutions for black holes and branes in Lifshitz backgrounds with arbitrary z and dimensions, including thermodynamic analysis.

Findings

Qualitative differences in phase diagrams for different z ranges

Identification of thermodynamic instabilities in certain regimes

Analytic solutions applicable to various dimensions

Abstract

We construct analytic solutions describing black holes and black branes in asymptotically Lifshitz spacetimes with arbitrary dynamical exponent z and for arbitrary number of dimensions. The model considered consists of Einstein gravity with negative cosmological constant, a scalar, and N U(1) gauge fields with dilatonic-like couplings. We study the phase diagrams and thermodynamic instabilities of the solution, and find qualitative differences between the cases with 1<= z<2, z=2 and z>2.