Uniqueness of complete maximal hypersurfaces in spatially open (n+1)(n+1)-dimensional Robertson-Walker spacetimes with flat fiber

preprint2016arXivOpen access

Abstract

In this paper, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-Walker spacetimes whose fiber is flat. Moreover, our results are applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and radiation models.

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