期刊
JOURNAL OF GEOMETRY AND PHYSICS
卷 52, 期 3, 页码 298-312出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2004.03.005
关键词
Einstein solvmanifolds; Anti-de Sitter spaces (AdS); black holes
In this paper we construct Einstein spaces with negative Ricci curvature in various dimensions. These spaces-which can be thought of as generalised AdS spacetimes an be classified in terms of the geometry of the horospheres in Poincare-like coordinates, and can be both homogeneous and static. By using simple building blocks, which in general are homogeneous Einstein solvmanifolds, we give a general algorithm for constructing Einstein metrics where the horospheres are products of generalised Heisenberg geometries, nilgeometries, solvegeometries, or Ricci-flat manifolds. Furthermore, we show that all of these spaces can give rise to black holes with the horizon geometry corresponding to the geometry of the horospheres, by explicitly deriving their metrics. (C) 2004 Elsevier B.V. All rights reserved.
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