We introduce two new families of solutions to the vacuum Einstein equations with negative cosmological constant in five 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.
Classical and Quantum Gravity
- Pub Date:
- February 2001
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- LaTeX, 20 pages, 2 figures Typographical errors corrected, and references to printed matter added in favour of preprints where possible