Uniqueness of spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson–Walker spacetimes
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Publication:5434693
DOI10.1017/S0305004107000576zbMATH Open1131.53035arXiv0709.4352OpenAlexW3106195558MaRDI QIDQ5434693
Author name not available (Why is that?)
Publication date: 7 January 2008
Published in: (Search for Journal in Brave)
Abstract: In this paper we study the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker (GRW) spacetimes. In particular, we consider the following question: Under what conditions must a compact spacelike hypersurface with constant higher order mean curvature in a spatially closed GRW spacetime be a spacelike slice? We prove that this happens, esentially, under the so called convergence condition. Our approach is based on the use of the Newton transformations (and their associated differential operators) and the Minkowski formulae for spacelike hypersurfaces.
Full work available at URL: https://arxiv.org/abs/0709.4352
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