2021/09/09 by José A. S. Pelegrín, Pelegrín, José A. S.
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG
paper · pdf · doi:10.48550/arxiv.2109.04166
This is a preprint of the article published in Libro de comunicaciones Definitivas presentadas en CEDYA + CMA 2017, 758-763, 2017, ISBN: 978-84-944402-1-2. arXiv admin note: substantial text overlap with arXiv:1605.03130, arXiv:1902.08776
arxiv created 2021/09/09 · arxiv updated 2021/09/10
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.