On a Petrov-type D homogeneous solution

Details On a Petrov-type D homogeneous solution On a Petrov-type D homogeneous solution

2005-08-12

arxiv.org/abs/gr-qc/0508051v2

Int.J.Mod.Phys. A21 (2006) 4355-4372

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, TeX file

Scientific paper

10.1142/S0217751X06032484

We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-de Sitter geometry along one direction and posses four Killing vectors. Global properties as well as the four dimensional generalization are discussed, followed by the investigation of the geodesic motion. A simple global embedding of these spaces as the intersection of four quadratic surfaces in a seven dimensional space is obtained. We argue also that these geometries describe the boundary of a four dimensional nutty-bubble solution and are relevant in the context of AdS/CFT correspondence.

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