Towards a classification of vacuum near-horizons geometries

Abstract

We prove uniqueness of the near-horizon geometries arising from degenerate Kerr black holes within the collection of nearby vacuum near-horizon geometries.

arXiv comment16 pages, 3 figures; minor changes to match published version

References in corpus (5)

• Stationary Black Holes: Uniqueness and Beyond
• Classification of near-horizon geometries of extremal black holes
• Extremal Isolated Horizons: A Local Uniqueness Theorem
• A uniqueness theorem for degenerate Kerr-Newman black holes
• Towards uniqueness of degenerate axially symmetric Killing horizon

Cited by in corpus (8)

• The Near Horizon Geometry Equation on Compact 2-Manifolds Including the General Solution for g > 0
• The Petrov type D equation on genus $>0$ sections of isolated horizons
• Axisymmetric, extremal horizons in the presence of a cosmological constant
• Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant
• Extremal horizons stationary to the second order: new constraints
• Rigidity of the extremal Kerr-Newman horizon
• Extremal Black Holes from Homotopy Algebras
• Lie point symmetries of near-horizon geometry equation