Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity

Mu-In Park; Hideki Maeda

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arXiv · 2509.19744

Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity

Mu-In Park·Hideki Maeda

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Abstract

We study causal properties of the recently found rotating black-hole solution in the low-energy sector of Horava gravity as a viable Lorentz-violating (LV) gravity in four dimensions with the LV Maxwell field and a cosmological constant $\Lambda (>-3/a^2)$ for an arbitrary rotation parameter $a$. The region of non-trivial causality violation containing closed timelike curves is exactly the same as in the Kerr-Newman or the Kerr-Newman-(Anti-)de Sitter solution. Nevertheless, chronology is protected in the new rotating black hole because the causality violating region becomes physically inaccessible by exterior observers due to the new three-curvature singularity at its boundary that is topologically two-torus including the usual ring singularity at $(r,\theta)=(0,\pi/2)$. As a consequence, the physically accessible region outside the torus singularity is causal everywhere.

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Mu-In Park, Hideki Maeda. 2025-09-24. Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity. https://arxiv.org/abs/2509.19744

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