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

2025/09/24 by Park, Mu-In, Maeda, Hideki
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Astrophysical Phenomena (astro-ph.HE) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2509.19744

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 Λ(>-3/a²) 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.

Citations

• Generic linearized curvature singularity at the perturbed Kerr Cauchy horizon
• Zero-Mass Rotating Spacetimes in Four-Dimensional Horava Gravity
• No Scalar-Haired Cauchy Horizon Theorem in Charged Gauss-Bonnet Black Holes
• The Large Scale Structure of Space-Time
• The Kerr spacetime: A brief introduction
• On the nature of quantum geometrodynamics

Related

• Rotating Black Holes in a Viable Lorentz-Violating Gravity: Finding Exact Solutions Without Tears
• Revisiting Chronology Protection Conjecture in The Dyonic Kerr-Sen Black Hole Spacetime
• Removal of Closed Timelike Curves in Kerr-Newman Spacetime
• Lorentz violation signatures in the low-energy sector of Hořava gravity from black hole shadow observations
• Null geodesics, causal structure, and matter accretion in Lorentzian-Euclidean black holes