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The global existence problem and cosmic censorship in general relativity |
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| Authors: | Vincent Moncrief Douglas M Eardley |
| Institution: | (1) Department of Physics, Yale University, 06520 New Haven, Connecticut;(2) Institute for Theoretical Physics, University of California, 93106 Santa Barbara, California;(3) Present address: Harvard College Observatory, 60 Garden St., 02138 Cambridge, Massachusetts |
| Abstract: | We formulate two global existence conjectures for the Einstein equations and discuss their relevance to the cosmic censorship conjecture. We argue that the reformulation of the cosmic censorship conjecture as a global existence problem renders it more amenable to direct analytical attack. To demonstrate the facilty of this approach we prove the cosmological version of our global existence conjecture for the Gowdy spacetimes onT 3×R. |
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