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The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology

Claus Gerhardt
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Abstract

We consider the inverse mean curvature flow in Robertson-Walker spacetimes that satisfy the Einstein equations and have a big crunch singularity and prove that under natural conditions the rescaled inverse mean curvature flow provides a smooth transition from big crunch to big bang. We also construct an example showing that in general the transition flow is only of class $C^3$.

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Claus Gerhardt. 2004-04-28. The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology. https://arxiv.org/abs/gr-qc/0404112

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