On the topology of black holes
type: Item
instance of: scholarly article
title: On the topology of black holes
zbMATH Open document ID: 0776.53047
DOI: 10.1007/BF02096748
author: Gregory J. Galloway
published in: Communications in Mathematical Physics
publication date: 1993-05-16T00:00:00Z
review text: The purpose of this paper is to establish from local hypothesis (i.e. from assumptions made on an arbitrary small region of spacetime in the vicinity of the black hole) some results concerning the final state topology of black holes. Main theorem. Let \(V\) be a standard static body in spacetime surrounding \(k \geq 0\) black holes; hence, in particular, \(\partial V= \partial^ H\cup \partial^ E\), where \(\partial^ H\) has \(k\) components, and \(\partial^ E\) is mean convex, orientable and has at least one 2-sphere component. Assume that the energy condition \((EC1)\), or, more generally, the energy condition \((EC2)\) is satisfied. Then \(\partial^ E\) is connected (and hence consists of a single 2-sphere), each component of \(\partial^ H\) is a 2-sphere, and \(V\) is diffeomorphic to a closed 3-ball minus \(k\) open 3-balls.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C57
Mathematics Subject Classification ID: 57M50
zbMATH DE Number: 165676
zbMATH Keywords: static body
zbMATH Keywords: energy condition
reviewed by: A. K. Guts
MaRDI profile type: Publication
Wikidata QID: Q124862374
cites work: Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
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full work available at URL: https://doi.org/10.1007/bf02096748
OpenAlex ID: W2073339005
description: scientific article; zbMATH DE number 165676