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. https://resolver.caltech.edu/CaltechAUTHORS:20100715-131351249
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Abstract
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.
| Item Type: | Article | |||||||||
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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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| Issue or Number: | 2 | |||||||||
| DOI: | 10.1007/BF01608741 | |||||||||
| Record Number: | CaltechAUTHORS:20100715-131351249 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20100715-131351249 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 19085 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Ruth Sustaita | |||||||||
| Deposited On: | 29 Jul 2010 23:26 | |||||||||
| Last Modified: | 08 Nov 2021 23:49 |
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