Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$

Details Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$ Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on $AdS_3$

2004-12-06

arxiv.org/abs/math/0412111v1

Geom. Ded. 126, 1 (2007) 71--129

Mathematics

Metric Geometry

Scientific paper

We prove that any maximal globally hyperbolic spacetime locally modelled on
the anti-de Sitter space of dimension 3, and admitting a closed Cauchy surface,
admits a time function $\tau$, such that every fiber $\tau^{-1}(t)$ is a
spacelike surface with constant mean curvature $t$.

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