Small Horizons

Abstract

All near horizon geometries of supersymmetric black holes in a N=2, D=5 higher-derivative supergravity theory are classified. Depending on the choice of near-horizon data we find that either there are no regular horizons, or horizons exist and the spatial cross-sections of the event horizons are conformal to a squashed or round S^3, S^1 * S^2, or T^3. If the conformal factor is constant then the solutions are maximally supersymmetric. If the conformal factor is not constant, we find that it satisfies a non-linear vortex equation, and the horizon may admit scalar hair.

21 pages, latex. Typos corrected and reference added

References in corpus (6)

• Near-horizon symmetries of extremal black holes
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• String Theory Effects on Five-Dimensional Black Hole Physics
• Almost BPS black holes
• A Uniqueness theorem for 5-dimensional Einstein-Maxwell black holes
• Towards Cosmological Black Rings

Cited by in corpus (4)

• Anomaly Corrected Heterotic Horizons
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• Symmetry enhancement of extremal horizons in D=5 supergravity
• Summary of session A4: Complex and conformal methods in classical and quantum gravity