Asymptotically Lifshitz spacetimes with universal horizons in $(1 + 2)$ dimensions
Abstract
Horava gravity theory possesses global Lifshitz space as a solution and has been conjectured to provide a natural framework for Lifshitz holography. We derive the conditions on the two derivative Horava gravity Lagrangian that are necessary for static, asymptotically Lifshitz spacetimes with flat transverse dimensions to contain a universal horizon, which plays a similar thermodynamic role as the Killing horizon in general relativity. Specializing to z=2 in 1+2 dimensions, we then numerically construct such regular solutions over the whole spacetime. We calculate the mass for these solutions and show that, unlike the asymptotically anti-de Sitter case, the first law applied to the universal horizon is straightforwardly compatible with a thermodynamic interpretation.
Keywords
Cite
@article{arxiv.1601.03274,
title = {Asymptotically Lifshitz spacetimes with universal horizons in $(1 + 2)$ dimensions},
author = {Sayandeb Basu and Jishnu Bhattacharyya and David Mattingly and Matthew Roberson},
journal= {arXiv preprint arXiv:1601.03274},
year = {2016}
}
Comments
12 pages, 4 figures