## The inverse mean curvature flow in cosmological spacetimes.(English)Zbl 1153.83016

Summary: 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.

### MSC:

 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) 83E05 Geometrodynamics and the holographic principle
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