Uniqueness of noncompact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
type: Item
instance of: scholarly article
title: Uniqueness of noncompact spacelike hypersurfaces of constant mean curvature in generalized Robertson-Walker spacetimes
zbMATH Open document ID: 1029.53072
DOI: 10.1023/A:1020341512060
author: José M. Latorre
author: Alfonso Romero
published in: Geometriae Dedicata
publication date: 2002-12-15T00:00:00Z
review text: The authors prove a uniqueness theorem for spacelike hypersurfaces of constant mean curvature in a generalized Robertson-Walker space-time, under the hypothesis that the hyperbolic angle between the future--pointing unit vector field and the universal time axis has a local maximum and under the assumption of a certain matter energy condition. The result is motivated by the important role played by such hypersurfaces in general relativity as initial hypersurfaces for constraint equations. The method of proof involves the Bochner-Lichnerowicz formula.
reviewed by: Marco Modugno
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C50
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 1845442
zbMATH Keywords: Robertson-Walker space-times
zbMATH Keywords: spacelike hypersurfaces
zbMATH Keywords: constant mean curvature
zbMATH Keywords: Bochner-Lichnerowicz formula
MaRDI profile type: Publication
full work available at URL: a:1020341512060
OpenAlex ID: W1976683945
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description: scientific article; zbMATH DE number 1845442