The inverse mean curvature flow in cosmological spacetimes

Details The inverse mean curvature flow in cosmological spacetimes The inverse mean curvature flow in cosmological spacetimes

2004-03-04

arxiv.org/abs/math/0403097v2

Adv. Theor. Math. Phys. 12, 1183 - 1207 (2008)

Mathematics

Differential Geometry

22 pages, v2: Some minor typos corrected, will be the published version

Scientific paper

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 sufficent 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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