Maximal hypersurfaces in Robertson-Walker spacetimes
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.
Keywords
Cite
@article{arxiv.2109.04166,
title = {Maximal hypersurfaces in Robertson-Walker spacetimes},
author = {José A. S. Pelegrín},
journal= {arXiv preprint arXiv:2109.04166},
year = {2021}
}
Comments
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