Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
type: Item
instance of: scholarly article
title: Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
zbMATH Open document ID: 0615.53055
DOI: 10.1007/BF00770326
author: Gary L. Bunting
author: A. K. M. Massod-ul-Alam
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: The authors prove that the exterior Schwarzschild solution is the only maximally extended static, vacuum, asymptotically euclidean (in a sense specified in the paper) space-time with regular compact black-hole boundary. The connectedness of the black-hole boundary has not been assumed a priori, but it is a consequence of this result. Thus for the given type of space-times multiple black holes do not exist. The Schoen- Yau-Witten positive mass theorem is an essential tool for the proof of this result.
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 83C75
zbMATH DE Number: 3996581
zbMATH Keywords: vacuum solution
zbMATH Keywords: asymptotically euclidean space-time
zbMATH Keywords: Schwarzschild solution
zbMATH Keywords: black holes
zbMATH Keywords: positive mass theorem
reviewed by: Bernd Wegner
MaRDI profile type: Publication
cites work: A simple proof of the generalization of Israel's theorem
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cites work: Q3726959
cites work: On the proof of the positive mass conjecture in general relativity
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full work available at URL: https://doi.org/10.1007/bf00770326
OpenAlex ID: W2080902371
description: scientific article; zbMATH DE number 3996581