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The inverse mean curvature flow in cosmological spacetimes

Claus Gerhardt
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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 sufficent 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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Claus Gerhardt. 2008-09-26. The inverse mean curvature flow in cosmological spacetimes. https://arxiv.org/abs/math/0403097

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