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Extremal Sasakian horizons

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arxiv 1204.5149 v3 pith:H2NXB5MB submitted 2012-04-23 hep-th gr-qcmath-phmath.MP

Extremal Sasakian horizons

classification hep-th gr-qcmath-phmath.MP
keywords einsteinhorizonssasakianasymptoticallyblackbundlesclasscompact
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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.

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  1. Charged and rotating near-horizon geometries in five dimensions

    hep-th 2026-06 conditional novelty 7.0

    New analytic charged rotating near-horizon geometries in 5D Einstein-Maxwell are constructed and shown to be the most general extremal rotating horizons with constant co-rotating electric field under Sasakian structure.