On stationary vacuum solutions to the Einstein equations

Details On stationary vacuum solutions to the Einstein equations On stationary vacuum solutions to the Einstein equations

2000-01-27

arxiv.org/abs/gr-qc/0001091v3

Annales Henri Poincare 1 (2000) 977

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Final version, to appear in Annales Henri Poincare

Scientific paper

10.1007/PL00001021

It is proved that the only geodesically complete stationary vacuum solution
of the Einstein equations is the empty Minkowski space, or a quotient of it by
a discrete group of isometries, generalizing a classical result of
Lichnerowicz. In addition, we obtain an apriori bound on the curvature of
stationary vacuum solutions away from the boundary or horizon.

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