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arXiv · 2102.01879

Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons

Jonathan Cheyne·David Mattingly
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Abstract

We numerically solve for 2+1 asymptotically Lifshitz universal horizon solutions in Horava-Lifshitz gravity for dynamical exponents $z=2$ through $z=8$. We find that for all $z$ there is a thermodynamical first law and Smarr formula. Furthermore, we find that the energy-entropy relation expected for a thermal state in a two dimensional Lifshitz field theory, $E=\frac{2}{z+2}TS$, is also satisfied for universal horizons, including the correct $z$ scaling.

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Jonathan Cheyne, David Mattingly. 2021-02-03. Energy-entropy relation for asymptotically Lifshitz spacetimes with universal horizons. https://doi.org/10.1103/physrevd.103.086012

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