Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915636231274496 |
|---|---|
| author | Park, Mu-In Maeda, Hideki |
| author_facet | Park, Mu-In Maeda, Hideki |
| contents | 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 $Λ(>-3/a^2)$ 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 $(r,θ)=(0,π/2)$. As a consequence, the physically accessible region outside the torus singularity is causal everywhere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity Park, Mu-In Maeda, Hideki High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology 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 $Λ(>-3/a^2)$ 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 $(r,θ)=(0,π/2)$. As a consequence, the physically accessible region outside the torus singularity is causal everywhere. |
| title | Chronology Protection of Rotating Black Holes in a Viable Lorentz-Violating Gravity |
| topic | High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.19744 |