2025/02/05 by Medina, María Á., Pelegrín, José A. S.
#53C24 #53C42 #53C80 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.2502.03054
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.