Zero-Mass Rotating Spacetimes in Four-Dimensional Horava Gravity

Fuente: arXiv
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Main Authors: Park, Mu-In, Lee, Hyung Won
Format: Preprint
Published: 2023
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author Park, Mu-In
Lee, Hyung Won
author_facet Park, Mu-In
Lee, Hyung Won
contents We study a particular exact solution for rotating spacetimes in four-dimensional Horava gravity, which has been proposed as a renormalizable gravity model without the ghost problem. We show that the zero-mass Kerr spacetime or the zero-mass Kerr-(A)dS spacetime in Einstein gravity is an exact solution in four-dimensional Horava for an arbitrary IR Lorentz-violation parameter lambda, but with an appropriate cosmological constant. In particular, for the zero-mass topological Kerr-AdS black hole solution with the hyperbolic horizon topology or the zero-mass Kerr-dS cosmological solution with the spherical horizon topology, there exist the ergosphere and the non-vanishing (positive) Hawking temperature, which imply the existence of negative mass black holes as well as positive mass spacetimes, by losing its mass from the zero-mass ones via the Hawking radiation or Penrose process in the ergosphere.
format Preprint
id arxiv_https___arxiv_org_abs_2309_13859
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Zero-Mass Rotating Spacetimes in Four-Dimensional Horava Gravity
Park, Mu-In
Lee, Hyung Won
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study a particular exact solution for rotating spacetimes in four-dimensional Horava gravity, which has been proposed as a renormalizable gravity model without the ghost problem. We show that the zero-mass Kerr spacetime or the zero-mass Kerr-(A)dS spacetime in Einstein gravity is an exact solution in four-dimensional Horava for an arbitrary IR Lorentz-violation parameter lambda, but with an appropriate cosmological constant. In particular, for the zero-mass topological Kerr-AdS black hole solution with the hyperbolic horizon topology or the zero-mass Kerr-dS cosmological solution with the spherical horizon topology, there exist the ergosphere and the non-vanishing (positive) Hawking temperature, which imply the existence of negative mass black holes as well as positive mass spacetimes, by losing its mass from the zero-mass ones via the Hawking radiation or Penrose process in the ergosphere.
title Zero-Mass Rotating Spacetimes in Four-Dimensional Horava Gravity
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2309.13859