Existence of maximal surfaces in asymptotically flat spacetimes |
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Authors: | Robert Bartnik |
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Affiliation: | (1) Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012 New York, NY, USA |
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Abstract: | We prove the existence of maximal surfaces in asymptotically flat spacetime satisfying an interior condition. This uses a priori estimates which can also be applied to prescribed mean curvature surfaces in cosmological spacetimes and the Dirichlet problem. |
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