Asymptotically Lifshitz Black Holes in Einstein-Maxwell-Dilaton Theories

TL;DR

This paper investigates Lifshitz black hole solutions in Einstein-Maxwell-dilaton theories, analyzing their phase structure and applying holographic renormalization with a new counterterm applicable across dimensions and dynamical exponents.

Contribution

It introduces a comprehensive study of Lifshitz black holes with variable dynamical exponents and proposes a universal counterterm for holographic renormalization in this context.

Findings

Phase diagram dependence on dynamical exponent

Development of a universal holographic counterterm

Insights into Lifshitz black hole thermodynamics

Abstract

We study Einstein-Maxwell-dilaton theories with a cosmological constant and U(1)^N gauge symmetry, considering metrics asymptotically approaching the Lifshiftz metric. We study the dependence of the phase diagram on the value of the dynamical exponent. Along the way, we apply holographic renormalization and propose a counterterm valid for arbitrary dimension and dynamical exponent in our setup.