Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes |
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| Authors: | Klaus Ecker Gerhard Huisken |
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| Institution: | (1) Department of Mathematics, The University of Melbourne, 3052 Parkville, Vic, Australia;(2) Department of Mathematics, Faculty of Science, Australian National University, GPO Box 4, 2601 Canberra, A.C.T., Australia |
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| Abstract: | Spacelike hypersurfaces of prescribed mean curvature in cosmological spacetimes are constructed as asymptotic limits of a geometric evolution equation. In particular, an alternative, constructive proof is given for the existence of maximal and constant mean curvature slices. |
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