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The Near-Horizon Limit of the Extreme Rotating d=5 Black Hole as a Homogenous Spacetime

N. Alonso-Alberca, E. Lozano-Tellechea, T. Ortin

Abstract

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 in [-1,1], is locally isomorphic to a homogeneous non-symmetric spacetime corresponding to an element of the 1-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).

The Near-Horizon Limit of the Extreme Rotating d=5 Black Hole as a Homogenous Spacetime

Abstract

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 in [-1,1], is locally isomorphic to a homogeneous non-symmetric spacetime corresponding to an element of the 1-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).

Paper Structure

This paper contains 4 sections, 39 equations.

Table of Contents

  1. Introduction
  2. Construction of the Metric and Killing Vectors
  3. Construction of the Killing Spinors and the Superalgebra
  4. Acknowledgments