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The Existence of Maximal Slicings in Asymptotically Flat Spacetimes

Cantor, M. and Fischer, A. and Marsden, J. and Murchadha, N. Ó. (1976) The Existence of Maximal Slicings in Asymptotically Flat Spacetimes. Communications in Mathematical Physics, 49 (2). pp. 187-190. ISSN 0010-3616. doi:10.1007/BF01608741.

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We consider Cauchy data (g,π) on IR^3 that are asymptotically Euclidean and that satisfy the vacuum constraint equations of general relativity. Only those (g,π) are treated that can be joined by a curve of sufficiently bounded initial data to the trivial data (d, 0). It is shown that in the Cauchy developments of such data, the maximal slicing condition tr π=0 can always be satisfied. The proof uses the recently introduced weighted Sobolev spaces of Nirenberg, Walker, and Cantor.

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Additional Information:© Springer-Verlag 1976. Communicated by J. Ehlers. SpringerLink Date Monday, May 16, 2005. Received July 9. 1975. Communicated by J. Ehlers
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ID Code:19085
Deposited By: Ruth Sustaita
Deposited On:29 Jul 2010 23:26
Last Modified:08 Nov 2021 23:49

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