Stability of Spacelike Hypersurfaces in Foliated Spacetimes

Abstract

We show that a given x:Mn Mn+1=I×φFn closed spacelike hypersurface with constant mean curvature H and warping function φ satisfying φ ''≥ \Hφ'',0\ is either minimal or a spacelike slice \to\× F for some to∈ I$.

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