Title: Constant Mean Curvature Spacelike Hypersurfaces in Spatially Open GRW Spacetimes
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.