Gerhardt, Claus The inverse mean curvature flow in cosmological spacetimes. (English) Zbl 1153.83016 Adv. Theor. Math. Phys. 12, No. 6, 1183-1207 (2008). 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. Cited in 1 ReviewCited in 4 Documents MSC: 83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems) 83E05 Geometrodynamics and the holographic principle × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid