Stability of Spacelike Hypersurfaces in Foliated Spacetimes

Details Stability of Spacelike Hypersurfaces in Foliated Spacetimes Stability of Spacelike Hypersurfaces in Foliated Spacetimes

2006-02-15

arxiv.org/abs/math/0602331v1

Mathematics

Differential Geometry

10 pages

Scientific paper

We show that a given $x:M^n\to \bar{M}^{n+1}=I\times_{\phi}F^{n}$ closed
spacelike hypersurface with constant mean curvature $H$ and warping function
$\phi$ satisfying \phi ''\geq \ma\{H\phi'',0\}$ is either minimal or a
spacelike slice $\{t_{o}\}\times F$ for some $t_{o}\in I$.

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