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On the structure of solutions to the static vacuum Einstein equations. (English) Zbl 0981.83013

The author considers the geometry of 3-manifold solutions \((M,g,u)\) of type \((0,1)\) (i.e. the space-like hypersurfaces) to study the mathematical aspects of the equations (e.g. Einstein vacuum equations) and their solutions including those which might not be relevant physically, for example, a solution with negative mass is also allowed here.

MSC:

83C15 Exact solutions to problems in general relativity and gravitational theory
83C40 Gravitational energy and conservation laws; groups of motions
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