Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms
arXiv:1509.01378 · doi:10.1103/PhysRevD.92.084049
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 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.
24 pages, 17 figures, 6 tables; v2 : typos corrected, minor changes, version accepted for publication in PRD
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- Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
- Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
- No static black hole hairs in gravitational theories of gravity with broken Lorentz invariance
- Gravitational plane waves in Einstein-aether theory
- Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
- Smarr Integral Formula of D-dimensional Stationary Spacetimes in Einstein-Æther-Maxwell Theroy
- New time-dependent solutions of viable Horndeski gravity