Title: Initial data for stationary space-times near space-like infinity
Abstract:
We study Cauchy initial data for asymptotically flat,
stationary vacuum space-times near space-like infinity. The fall-off
behavior of the intrinsic metric and the extrinsic curvature is
characterized. We prove that they have an analytic expansion in
powers of a radial coordinate. The coefficients of the expansion are
analytic functions of the angles. This result allow us to fill a
gap in the proof found in the literature of the statement that all
asymptotically flat, vacuum stationary space-times admit an analytic
compactification at null infinity.
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Dain's lecture
Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and S.Dain