Asymptotically flat and regular Cauchy data

Dain, Sergio

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Asymptotically flat and regular Cauchy data

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

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Citation

Dain, S. (2002). Asymptotically flat and regular Cauchy data. In J. Frauendiener, & H. Friedrich (Eds.), The conformal structure of space time: geometry, analysis, numerics (pp. 161-181). Berlin u.a.: Springer, Lecture Notes in Physics.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5556-6

Abstract

I describe the construction of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers of a radial coordinate. I emphasize the motivations and the main ideas behind the proofs.