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arXiv · 2109.04166

Maximal hypersurfaces in Robertson-Walker spacetimes

José A. S. Pelegrín
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Abstract

In this work we study maximal hypersurfaces in spatially open Generalized Robertson-Walker spacetimes with Ricci-flat fiber by means of a generalized maximum principle. In particular, under natural geometric and physical assumptions we provide new uniqueness and non-existence results for complete maximal hypersurfaces in spatially open Robertson-Walker spacetimes with flat fiber. Moreover, our results are applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and radiation models.

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José A. S. Pelegrín. 2021-09-09. Maximal hypersurfaces in Robertson-Walker spacetimes. https://arxiv.org/abs/2109.04166

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