Two remarks on near-horizon geometries

Abstract

We show that any extreme black hole with an orthogonally transitive abelian isometry group has a near-horizon geometry with enhanced symmetry. We also point out a simple proof of the horizon topology theorem of Galloway and Schoen for degenerate horizons.

5 pages

References in corpus (5)

• Near-horizon symmetries of extremal black holes
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• A classification of near-horizon geometries of extremal vacuum black holes
• Extremal vacuum black holes in higher dimensions
• On higher dimensional black holes with abelian isometry group

Cited by in corpus (3)

• Static near horizon geometries and rigidity of quasi-Einstein manifolds
• Uniqueness of extreme horizons in Einstein-Yang-Mills theory
• Null infinity and extremal horizons in AdS-CFT