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New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld

C. Cadeau·E. Woolgar
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Abstract

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.

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C. Cadeau, E. Woolgar. 2001-01-31. New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld. https://doi.org/10.1088/0264-9381%2F18%2F3%2F312

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