A no-go theorem for slowly rotating black holes in Horava-Lifshitz gravity
Enrico Barausse, Thomas P. Sotiriou
TL;DR
This paper proves that slowly rotating black hole solutions cannot exist in the infrared limit of Horava-Lifshitz gravity if they are regular, raising questions about the theory's compatibility with observed astrophysical black holes.
Contribution
It demonstrates the non-existence of regular, slowly rotating black hole solutions in Horava-Lifshitz gravity, highlighting a fundamental limitation of the theory.
Findings
No regular slowly rotating black holes in the theory
Implications for the theory's astrophysical viability
A correction regarding the dynamical equivalence with Einstein-aether theory
Abstract
We consider slowly rotating, stationary, axisymmetric black holes in the infrared limit of Horava-Lifshitz gravity. We show that such solutions do not exist, provided that they are regular everywhere apart from the central singularity. This has profound implications for the viability of the theory, considering the astrophysical evidence for the existence of black holes with non-zero spin. NOTE ADDED: A subtlety in the dynamical equivalence between Horava-Lifshitz gravity and Einstein-aether theory has been missed and this has seriously affected the conclusions of this paper. Please see arXiv:1212.1334 for a full discussion
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