Extremal Sasakian horizons
High Energy Physics - Theory
2012-10-19 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We point out a simple construction of an infinite class of Einstein near-horizon geometries in all odd dimensions greater than five. Cross-sections of the horizons are inhomogeneous Sasakian metrics (but not Einstein) on S^3xS^2 and more generally on Lens space bundles over any compact positive Kaehler-Einstein manifold. They are all consistent with the known topology and symmetry constraints for asymptotically flat or globally AdS black holes.
Cite
@article{arxiv.1204.5149,
title = {Extremal Sasakian horizons},
author = {Hari K. Kunduri and James Lucietti},
journal= {arXiv preprint arXiv:1204.5149},
year = {2012}
}
Comments
10 pages, Latex. v2: corrected minor error, results unaffected; minor improvements. v3: improved and clarified global analysis and topology (updated since published version)