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The inverse mean curvature flow in cosmological spacetimes | Claus Gerhardt
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4 Mar 2004 | Subject: | Differential Geometry MSC-class: [2000]{35J60, 53C21, 53C44, 53C50, 58J05} | math.DG gr-qc | 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 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. | Source: | arXiv, math.DG/0403097 | Services: | Forum | Review | PDF | Favorites |
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