Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-11-07
Class.Quant.Grav. 18 (2001) 527-542
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 20 pages, 2 figures Typographical errors corrected, and references to printed matter added in favour of preprints where
Scientific paper
10.1088/0264-9381/18/3/312
We introduce two new families of solutions to the vacuum Einstein equations with negative cosmological constant in 5 dimensions. These solutions are static black holes whose horizons are modelled on the 3-geometries nilgeometry and solvegeometry. Thus the horizons (and the exterior spacetimes) can be foliated by compact 3-manifolds that are neither spherical, toroidal, hyperbolic, nor product manifolds, and therefore are of a topological type not previously encountered in black hole solutions. As an application, we use the solvegeometry solutions to construct Bianchi VI$_{-1}$ braneworld cosmologies.
Cadeau Coire
Woolgar Eric
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