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On stationary vacuum solutions to the Einstein equations

Michael T. Anderson
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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.

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Michael T. Anderson. 2000-06-12. On stationary vacuum solutions to the Einstein equations. https://doi.org/10.1007/pl00001021

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