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Published June 1976 | metadata_only
Journal Article

The Existence of Maximal Slicings in Asymptotically Flat Spacetimes


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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© 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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August 19, 2023
August 19, 2023