The Near-Horizon Limit Of The Extreme Rotating D=5 Black Hole As A Homogeneous Spacetime

We show that the spacetime of the near-horizon limit of the extreme rotating d = 5 black hole, which is maximally supersymmetric in N = 2, d = 5 supergravity for any value of the rotation parameter j is an element of [- 1, 1], is locally isomorphic to a homogeneous non-symmetric spacetime corresponding to an element of the one-parameter family of coset spaces SO(2, 1) x SO(3)/SO(2)(j) in which the subgroup SO(2)(j) is a combination of the two SO(2) subgroups of SO(2, 1) and SO (3).