Notes on no black hole theorem in three dimensional gravity

Fuente: arXiv
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Auteurs principaux: Mao, Pujian, Zhao, Weicheng
Format: Preprint
Publié: 2023
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author Mao, Pujian
Zhao, Weicheng
author_facet Mao, Pujian
Zhao, Weicheng
contents In this paper, we revisit the no black hole theorem in three dimensional (3D) gravity in the Newman-Penrose formalism in a generalized Newman-Unti gauge. After adapting the well established 4D NP formalism and its gauge and coordinates system to 3D gravity, we show that the no black hole theorem is manifest in the NP equations. We further study in detail the horizon properties of the 3D charged rotating solutions and confirm that a black hole solution requires a negative cosmological constant.
format Preprint
id arxiv_https___arxiv_org_abs_2307_14830
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Notes on no black hole theorem in three dimensional gravity
Mao, Pujian
Zhao, Weicheng
General Relativity and Quantum Cosmology
High Energy Physics - Theory
In this paper, we revisit the no black hole theorem in three dimensional (3D) gravity in the Newman-Penrose formalism in a generalized Newman-Unti gauge. After adapting the well established 4D NP formalism and its gauge and coordinates system to 3D gravity, we show that the no black hole theorem is manifest in the NP equations. We further study in detail the horizon properties of the 3D charged rotating solutions and confirm that a black hole solution requires a negative cosmological constant.
title Notes on no black hole theorem in three dimensional gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2307.14830