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March 2006 The Inverse Mean Curvature Flow in Robertson-Walker Spaces and its Application
Claus Gerhardt
Methods Appl. Anal. 13(1): 19-28 (March 2006).

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. "The Inverse Mean Curvature Flow in Robertson-Walker Spaces and its Application." Methods Appl. Anal. 13 (1) 19 - 28, March 2006.

Information

Published: March 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1109.53067
MathSciNet: MR2275870

Subjects:
Primary: 35J60, 53C21, 53C44, 53C50, 58J05

Rights: Copyright © 2006 International Press of Boston

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Vol.13 • No. 1 • March 2006
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