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Constant mean curvature spacelike hypersurfaces in spatially Open GRW spacetimes. (English) Zbl 1427.53093

Summary: 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.

MSC:

53C80 Applications of global differential geometry to the sciences
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics
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