An Infinite Class of Extremal Horizons in Higher Dimensions

We present a new class of near-horizon geometries which solve Einstein’s vacuum equations, including a negative cosmological constant, in all even dimensions greater than four. Spatial sections of the horizon are inhomogeneous S2-bundles over any compact Kähler-Einstein manifold. For a given base, the solutions are parameterised by one continuous parameter (the angular momentum) and an integer which determines the topology of the horizon. In …