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Summary: Non-trivial, static, geodesically complete, vacuum
space-times with a negative cosmological constant
Michael T. Anderson
Department of Mathematics
S.U.N.Y. at Stony Brook
Stony Brook, N.Y. 11794-3651
Piotr T. Chrusciel y
Albert Einstein Institute z
D-14476 Golm, Germany
Erwann Delay x
Departement de mathematiques
Faculte des Sciences
Parc de Grandmont
F37200 Tours, France
Abstract
We construct a large class of new singularity-free static Lorentzian four-
dimensional solutions of the vacuum Einstein equations with a negative
cosmological constant. The new families of metrics contain space-times
with, or without, black hole regions. Two uniqueness results are also
established.
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