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

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

2004-04-27

arxiv.org/abs/gr-qc/0404112v2

Methods Appl.Anal. 13 (2006) 19-28

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, a pdf version can also be retrieved from http://www.math.uni-heidelberg.de/studinfo/gerhardt/rw.pdf and bibtex data

Scientific paper

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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