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arXiv · 2502.03054

Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes

María Á. Medina·José A. S. Pelegrín
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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.

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María Á. Medina, José A. S. Pelegrín. 2025-02-05. Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson-Walker spacetimes. https://arxiv.org/abs/2502.03054

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