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arXiv · 1604.04117

Rigidity of spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes

Alma L. Albujer·Henrique F. de Lima·Arlandson M. Oliveira·Marco Antonio L. Velásquez
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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.

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Alma L. Albujer, Henrique F. de Lima, Arlandson M. Oliveira, Marco Antonio L. Velásquez. 2016-04-14. Rigidity of spacelike hypersurfaces in spatially weighted generalized Robertson-Walker spacetimes. https://arxiv.org/abs/1604.04117

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