### 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 Hořava-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. Whereas, if a three-Ricci curvature squared term is joined in ultraviolet modification, we find a solution with a thunderbolt singularity such that the universal horizon turns out to be a spacelike singularity.

Original language | English |
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Article number | 084049 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 92 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2015 Oct 22 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

**Black holes and Thunderbolt singularities with Lifshitz scaling terms.** / Misonoh, Yosuke; Maeda, Keiichi.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 92, no. 8, 084049. https://doi.org/10.1103/PhysRevD.92.084049

}

TY - JOUR

T1 - Black holes and Thunderbolt singularities with Lifshitz scaling terms

AU - Misonoh, Yosuke

AU - Maeda, Keiichi

PY - 2015/10/22

Y1 - 2015/10/22

N2 - We study a static, spherically symmetric and asymptotic flat spacetime, assuming the hypersurface orthogonal Einstein-aether theory with an ultraviolet modification motivated by the Hořava-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. Whereas, if a three-Ricci curvature squared term is joined in ultraviolet modification, we find a solution with a thunderbolt singularity such that the universal horizon turns out to be a spacelike singularity.

AB - We study a static, spherically symmetric and asymptotic flat spacetime, assuming the hypersurface orthogonal Einstein-aether theory with an ultraviolet modification motivated by the Hořava-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. Whereas, if a three-Ricci curvature squared term is joined in ultraviolet modification, we find a solution with a thunderbolt singularity such that the universal horizon turns out to be a spacelike singularity.

UR - http://www.scopus.com/inward/record.url?scp=84945909043&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84945909043&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.92.084049

DO - 10.1103/PhysRevD.92.084049

M3 - Article

AN - SCOPUS:84945909043

VL - 92

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 8

M1 - 084049

ER -