Rigidity of complete spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes
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Publication:730465
DOI10.1016/J.DIFGEO.2016.11.006zbMATH Open1355.53051arXiv1604.04117OpenAlexW2962929514WikidataQ115355583 ScholiaQ115355583MaRDI QIDQ730465
Author name not available (Why is that?)
Publication date: 28 December 2016
Published in: (Search for Journal in Brave)
Abstract: Our purpose in this paper is to apply some maximum principles in order to study the rigidity of complete spacelike hypersurfaces immersed in a spatially weighted generalized Robertson-Walker (GRW) spacetime, which is supposed to obey the so called strong null convergence condition. Under natural constraints on the weight function and on the f-mean curvature, we establish sufficient conditions to guarantee that such a hypersurface must be a slice of the ambient space. In this setting, we also obtain new Calabi-Bernstein type results concerning entire graphs in a spatially weighted GRW spacetime.
Full work available at URL: https://arxiv.org/abs/1604.04117
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