Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes
Differential Geometry
2025-02-06 v1
Abstract
In this article we obtain new rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes that satisfy the Null Energy Condition. Under appropiate geometric assumptions we prove new parametric uniqueness and nonexistence results as well as obtain a Calabi-Bernstein type result for the maximal hypersurface equation in these ambient spacetimes.
Keywords
Cite
@article{arxiv.2502.03054,
title = {Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes},
author = {María Á. Medina and José A. S. Pelegrín},
journal= {arXiv preprint arXiv:2502.03054},
year = {2025}
}