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arXiv · 1509.01378

Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms

Yosuke Misonoh·Kei-ichi Maeda
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Abstract

We study a static, spherically symmetric and asymptotic flat spacetime, assuming the hypersurface orthogonal Einstein-aether theory with an ultraviolet modification motivated by the Horava-Lifshitz theory, which is composed of the $z=2$ Lifshitz scaling terms such as scalar combinations of a three-Ricci curvature and the acceleration of the aether field. For the case with the quartic term of the acceleration of the aether field, we obtain a two-parameter family of black hole solutions, which possess a regular universal horizon. While, if three-Ricci curvature squared term is joined in ultraviolet modification, we find a solution with a thunderbolt singularity such that the universal horizon turns to be a spacelike singularity.

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Yosuke Misonoh, Kei-ichi Maeda. 2015-09-27. Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms. https://doi.org/10.1103/physrevd.92.084049

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