S. Dain

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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Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and S.Dain