Analytic Lifshitz black holes in higher dimensions

TL;DR

This paper introduces new analytic Lifshitz black hole solutions across various dimensions and dynamical exponents, including extremal and logarithmic decay cases, expanding the landscape for non-relativistic holography studies.

Contribution

It generalizes known Lifshitz black holes to higher dimensions and exponents, presenting the first extremal solutions and new families with quadratic curvature corrections.

Findings

First extremal Lifshitz black hole example.

New higher-dimensional Lifshitz black hole families.

Solutions include logarithmic decay and critical limits.

Abstract

We generalize the four-dimensional R^2-corrected z=3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asymptotically Lifshitz black hole with a logarithmic decay is also exhibited for a specific critical exponent depending on the dimension. We extend this analysis to the more general quadratic curvature corrections for which we present three new families of higher-dimensional D>=5 analytic Lifshitz black holes for generic z. One of these higher-dimensional families contains as critical limits the z=3 three-dimensional Lifshitz black hole and a new z=6 four-dimensional black hole. The variety of analytic solutions presented here encourages to explore these gravity models within the context of non-relativistic holographic correspondence.