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Main Author: Gudapati, Nishanth
Format: Preprint
Published: 2021
Subjects:
Online Access:https://arxiv.org/abs/2112.06056
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author Gudapati, Nishanth
author_facet Gudapati, Nishanth
contents The problem of stability of rotating black holes is the subject of a long standing research program since the 1960s and remains an unresolved problem in general relativity. A major obstacle in the black hole stability problem is that the energy of waves propagating through rotating black holes spacetimes is not necessarily positive-definite, due to the so called ergo-region. This is a serious complication that limits the efficacy of most mathematical techniques. In this Letter, we report that, despite the ergo-region, there exists a positive-definite \emph{total energy} for axisymmetric Maxwell, gravitational and electrovacuum perturbations of Kerr and Kerr-Newman black hole spacetimes.
format Preprint
id arxiv_https___arxiv_org_abs_2112_06056
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Energy Extraction, or Lack Thereof
Gudapati, Nishanth
General Relativity and Quantum Cosmology
The problem of stability of rotating black holes is the subject of a long standing research program since the 1960s and remains an unresolved problem in general relativity. A major obstacle in the black hole stability problem is that the energy of waves propagating through rotating black holes spacetimes is not necessarily positive-definite, due to the so called ergo-region. This is a serious complication that limits the efficacy of most mathematical techniques. In this Letter, we report that, despite the ergo-region, there exists a positive-definite \emph{total energy} for axisymmetric Maxwell, gravitational and electrovacuum perturbations of Kerr and Kerr-Newman black hole spacetimes.
title Energy Extraction, or Lack Thereof
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2112.06056