Constructions of Vacuum Spacetimes Symmetric Near Spatial Infinity

Details Constructions of Vacuum Spacetimes Symmetric Near Spatial Infinity Constructions of Vacuum Spacetimes Symmetric Near Spatial Infinity

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet..993c&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

The only scalar-flat metrics with spherical symmetry are given by standard initial slices of the Schwarzschild family of spacetimes. Until recently it was open whether there were any nontrivial time-symmetric initial data on R3 for the vacuum Einstein equation which are identically Schwarzschild outside some compact set. We describe a technique which resolves this question in the affirmative, and we also mention joint work which extends these results to the non-time-symmetric case.

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