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.

arXiv comment5 pages

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Cited by in corpus (8)

• Classification of near-horizon geometries of extremal black holes
• Transverse deformations of extreme horizons
• New Restrictions on the Topology of Extreme Black Holes
• Static near horizon geometries and rigidity of quasi-Einstein manifolds
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• Uniqueness of extreme horizons in Einstein-Yang-Mills theory
• Degenerate horizons, Einstein metrics, and Lens space bundles
• Null infinity and extremal horizons in AdS-CFT