Black holes in asymptotically Lifshitz spacetime

TL;DR

This paper explores black hole solutions in a 3+1 dimensional gravity model with Lifshitz asymptotics, revealing stable charged black holes, their thermodynamics, and implications for dual strongly coupled gauge theories.

Contribution

It introduces a family of charged Lifshitz black holes with detailed thermodynamic properties and explores their role in holographic duals of critical phenomena.

Findings

Charged black holes are thermodynamically stable.

Black holes become extremal as size vanishes.

Wilson loops show screening behavior similar to gauge theories.

Abstract

A model of 3+1 dimensional gravity with negative cosmological constant coupled to abelian gauge fields has been proposed as a gravity dual for Lifshitz like critical phenomena in 2+1 dimensions. The finite temperature behavior is described by black holes that are asymptotic to the Lifshitz fixed point geometry. There is a one-parameter family of charged black holes, where the magnitude of the charge is uniquely determined by the black hole area. These black holes are thermodynamically stable and become extremal in the limit of vanishing size. The theory also has a discrete spectrum of localized objects described by non-singular spacetime geometries. The finite temperature behavior of Wilson loops is reminiscent of strongly coupled gauge theories in 3+1 dimensions, including screening at large distances.