paper

On stationary vacuum solutions to the Einstein equations

arXiv:gr-qc/0001091 · doi:10.1007/PL00001021

Abstract

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.

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

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