 
Summary: Nontrivial, static, geodesically complete, vacuum
spacetimes with a negative cosmological constant
Michael T. Anderson
Department of Mathematics
S.U.N.Y. at Stony Brook
Stony Brook, N.Y. 117943651
Piotr T. Chrusciel y
Albert Einstein Institute z
D14476 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 singularityfree static Lorentzian four
dimensional solutions of the vacuum Einstein equations with a negative
cosmological constant. The new families of metrics contain spacetimes
with, or without, black hole regions. Two uniqueness results are also
established.
