Rotating black holes in a viable Lorentz-violating gravity: finding exact solutions without tears

We introduce a two-step procedure for finding Kerr-type rotating black hole solutions without tears. Considering the low-energy sector of Hořava gravity as a viable Lorentz-violating gravity in four dimensions which admits a different speed of gravity, we find the exact rotating black hole solutions...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-08, Vol.84 (8), p.852-13, Article 852
Main Authors: Devecioğlu, Deniz O., Park, Mu-In
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Cosmology
Black holes
Cosmological constant
Couplings
Elementary Particles
Exact solutions
Hadrons
Hamilton-Jacobi equation
Heavy Ions
Isomorphism
Light speed
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article – Theoretical Physics
Rotation
String Theory
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Summary:We introduce a two-step procedure for finding Kerr-type rotating black hole solutions without tears. Considering the low-energy sector of Hořava gravity as a viable Lorentz-violating gravity in four dimensions which admits a different speed of gravity, we find the exact rotating black hole solutions (with or without cosmological constant). We find that the singular region extends to r < 0 region from the ring singularity at r = 0 in Boyer–Lindquist coordinates. There are two Killing horizons where g rr = 0 and the black hole thermodynamics laws are still valid. We find the rotating black hole solutions with electromagnetic charges only when we consider the noble electromagnetic couplings, in such a way that the speed of light is the same as the speed of gravity. With the noble choice of couplings, our Lorentz-violating gravity can be consistent with the recently-observed time delay of the coincident GW and GRB signals. Furthermore, in Appendices, we show that (a) the uniqueness of the invariant line element d s 2 under the foliation-preserving diffeomorphism Diff F , contrary to Lorentz-violating action, (b) the solutions are the Petrov type I with four distinct principal null vectors, and (c) the Hamilton-Jacobi equation for the geodesic particles are not separable.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-13209-3