Complete constant mean curvature spacelike hypersurfaces in the Einstein-de Sitter spacetime

Abstract

Uniqueness and non-existence results on complete constant mean curvature spacelike hypersurfaces lying between two spacelike slice in the Einstein-de Sitter spacetime are given. They are obtained from a Liouvielle-type theorem applied to a distinguished smooth function on a constant mean curvature hypersurface.

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