Horava-Lifshitz Black Hole Hydrodynamics

TL;DR

This paper explores the holographic hydrodynamics of black holes in gravity theories with a preferred foliation, focusing on universal horizons and their relation to Lifshitz field theory transport properties.

Contribution

It introduces a detailed hydrodynamic framework for black holes with universal horizons in covariant gravity theories with Lifshitz scaling.

Findings

Derived the flux of spin zero perturbations across the universal horizon.

Calculated the shear viscosity to entropy density ratio for a specific black hole solution.

Linked gravitational perturbations to dissipative transport in Lifshitz hydrodynamics.

Abstract

We consider the holographic hydrodynamics of black holes in generally covariant gravity theories with a preferred time foliation. Gravitational perturbations in these theories have spin two and spin zero helicity modes with generically different speeds. The black hole solutions possess a spacelike causal boundary called the universal horizon. We relate the flux of the spin zero perturbation across the universal horizon to the new dissipative transport in Lifshitz field theory hydrodynamics found in arXiv:1304.7481. We construct in detail the hydrodynamics of one such black hole solution, and calculate the ratio of the shear viscosity to the entropy density.