Weakly decaying asymptotically flat static and stationary solutions to the Einstein equations

Details Weakly decaying asymptotically flat static and stationary solutions to the Einstein equations Weakly decaying asymptotically flat static and stationary solutions to the Einstein equations

1993-11-08

arxiv.org/abs/gr-qc/9311012v1

Class.Quant.Grav.12:149-158,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, plain Tex

Scientific paper

10.1088/0264-9381/12/1/013

The assumption that a solution to the Einstein equations is static (or stationary) very strongly constrains the asymptotic behaviour of the metric. It is shown that one need only impose very weak differentiability and decay conditions {\it a priori} on the metric for the field equations to force the metric to be analytic near infinity and to have the standard Schwarzschildian falloff.

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