Degenerate horizons, Einstein metrics, and Lens space bundles

Understand

We present a new infinite class of near-horizon geometries of degenerate horizons, satisfying Einstein's equations for all odd dimensions greater than five.

• The symmetry and topology of these solutions is compatible with those of black holes.
• The simplest examples give horizons of spatial topology S^3xS^2 or the non-trivial S^3-bundle over S^2.
• More generally, the horizons are Lens space bundles associated to certain principal torus-bundles over Fano Kaehler-Einstein manifolds.