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December 2008 The inverse mean curvature flow in cosmological spacetimes
Claus Gerhardt
Adv. Theor. Math. Phys. 12(6): 1183-1207 (December 2008).

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 sufficient 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. "The inverse mean curvature flow in cosmological spacetimes." Adv. Theor. Math. Phys. 12 (6) 1183 - 1207, December 2008.

Information

Published: December 2008
First available in Project Euclid: 19 September 2008

zbMATH: 1153.83016
MathSciNet: MR2443263

Rights: Copyright © 2008 International Press of Boston

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Vol.12 • No. 6 • December 2008
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