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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年3月4日

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  • María Á. Medina,
  • José A. S. Pelegrín

摘要

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.