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arXiv · 1605.03130

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

José A. S. Pelegrín·Alfonso Romero·Rafael M. Rubio
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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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José A. S. Pelegrín, Alfonso Romero, Rafael M. Rubio. 2016-05-10. Uniqueness of complete maximal hypersurfaces in spatially open $(n+1)$-dimensional Robertson-Walker spacetimes with flat fiber. https://doi.org/10.1007/s10714-016-2069-7

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