Advances in Theoretical and Mathematical Physics

Volume 12 (2008)

Number 6

The inverse mean curvature flow in cosmological spacetimes

Pages: 1183 – 1207

DOI: http://dx.doi.org/10.4310/ATMP.2008.v12.n6.a1

Author

Claus Gerhardt

Abstract

We prove that the leaves of an inverse mean curvature flow provide a foliation of a future end of a cosmological spacetime $N$ under the necessary and sufficient assumptions that $N$ satisfies a future mean curvature barrier condition and a strong volume decay condition. Moreover, the flow parameter t can be used to define a new physically important time function.

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