Smoothness at null infinity and structure of initial data

Friedrich, Helmut

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Smoothness at null infinity and structure of initial data

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Friedrich, Helmut
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Friedrich, H. (2004). Smoothness at null infinity and structure of initial data. In P. T. Chrusciel, & H. Friedrich (Eds.), The Einstein Equations and the Large Scale Behaviour of Gravitational Fields (pp. 121-203). Bostaton, Basel, Berlin: Birkhaeuser.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-50A3-2

Abstract

We describe our present understanding of the relation between the behaviour near space-like infinity of asymptotically flat Cauchy data for Einstein’s vacuum field equations and the asymptotic behaviour of their time evolution at null infinity. It is shown that asymptotically flat, static vacuum solutions admit an analytic conformal representation in a neighbourhood of the critical sets at which null infinity touches the cylinder at space-like infinity.