Constant mean curvature spacelike hypersurfaces in spatially open GRW spacetimes
Differential Geometry
2021-07-30 v1
Abstract
In this paper we provide under certain geometric and physical assumptions new uniqueness and non-existence results for complete spacelike hypersurfaces of constant mean curvature in spatially open Generalized Robertson-Walker spacetimes. Some of our results are then applied to relevant spacetimes as the steady state spacetime, Einstein-de Sitter spacetime and certain radiation models.
Keywords
Cite
@article{arxiv.2107.13906,
title = {Constant mean curvature spacelike hypersurfaces in spatially open GRW spacetimes},
author = {José A. S. Pelegrín and Marco Rigoli},
journal= {arXiv preprint arXiv:2107.13906},
year = {2021}
}
Comments
This is a preprint of the article available at https://link.springer.com/article/10.1007/s12220-018-00117-8