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Communications in Mathematical Physics
, Volume 49, Issue 2, pp 187190
The existence of maximal slicings in asymptotically flat spacetimes
 M. CantorAffiliated withDepartment of Physics and Astronomy, University of North Carolina
 , A. FischerAffiliated withDepartment of Physics and Astronomy, University of North Carolina
 , J. MarsdenAffiliated withDepartment of Physics and Astronomy, University of North Carolina
 , N. Ō MurchadhaAffiliated withDepartment of Physics and Astronomy, University of North Carolina
 , J. YorkAffiliated withDepartment of Physics and Astronomy, University of North Carolina
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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 (δ, 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.
 Title
 The existence of maximal slicings in asymptotically flat spacetimes
 Journal

Communications in Mathematical Physics
Volume 49, Issue 2 , pp 187190
 Cover Date
 197606
 DOI
 10.1007/BF01608741
 Print ISSN
 00103616
 Online ISSN
 14320916
 Publisher
 SpringerVerlag
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 Authors

 M. Cantor ^{(1)}
 A. Fischer ^{(1)}
 J. Marsden ^{(1)}
 N. Ō Murchadha ^{(1)}
 J. York ^{(1)}
 Author Affiliations

 1. Department of Physics and Astronomy, University of North Carolina, 27514, Chapel Hill, North Carolina, USA