Constant mean curvature spacelike hypersurfaces in spatially open GRW spacetimes

Abstract

In this paper we provide under certain geometric and physical assumptions new uniqueness and non-existence results for complete spacelike hypersurfaces of constant mean curvature in spatially open Generalized Robertson-Walker spacetimes. Some of our results are then applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and certain radiation models.

arXiv commentThis is a preprint of the article available at https://link.springer.com/article/10.1007/s12220-018-00117-8

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Cited by in corpus (1)

• Extremal and weakly trapped submanifolds in Generalized Robertson-Walker spacetimes