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The inverse mean curvature flow in Robertson-Walker spaces and its application to cosmology | | Claus Gerhardt
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27 Apr 2004 | | Subject: | General Relativity and Quantum Cosmology; Differential Geometry | gr-qc hep-th math.DG | | 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 $C^3$. | | Source: | arXiv, gr-qc/0404112 | | Services: | Forum | Review | PDF | Favorites | |
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