New Asymptotically Lifshitz Black Holes in Horava gravity

TL;DR

This paper explores new Lifshitz black hole solutions in Horava gravity for specific critical exponents, revealing novel numerical solutions with unique horizon properties and oscillatory interior behavior, relevant for holographic dualities.

Contribution

The study introduces a new class of numerical Lifshitz black hole solutions in Horava gravity for z=2 and z=3/2, with regular horizons and distinctive near-infinity and interior features.

Findings

Numerical solutions with regular universal horizons for z=2 and z=3/2.

Non-analytic behavior of solutions near infinity.

Oscillatory behavior of the unit timelike vector inside the horizon.

Abstract

We study asymptotically Lifshitz solutions with critical exponent $z \neq 1$ in Horava gravity in three and four spacetime dimensions. For $z=2$ and $z=3/2$, we find a novel class of numerical solutions with regular universal horizon, but are characterized by non-analytic behavior near infinity. In the interior, inside the universal horizon, the unit timelike vector field associated with the preferred time foliation exhibits oscillatory behavior, qualitatively similar to that found earlier in asymptotically flat solutions. For $z>2$ no solutions of this type appear to exist. We comment on potential applications to holographic Lifshitz dualities.