New Asymptotically Lifshitz Black Holes in Horava gravity

Abstract

We study asymptotically Lifshitz solutions with critical exponent $z\ne 1$ 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.

arXiv comment20 pages, 7 figures

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Cited by in corpus (4)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• On the Anisotropic Interior Solutions in Hořava Gravity and Einstein-æther Theory
• No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
• Spatially homogeneous black hole solutions in $z=4$ Hořava-Lifshitz gravity in $(4+1)$ dimensions with Nil geometry and $H^2\times R$ horizons