Towards uniqueness of degenerate axially symmetric Killing horizon

Abstract

We examine the linearized equations around extremal Kerr horizon and give some arguments towards stability of the horizon with respect to generic (non-symmetric) linear perturbation of near horizon geometry.

17 pages

References in corpus (3)

• A classification of near-horizon geometries of extremal vacuum black holes
• Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
• All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries

Cited by in corpus (10)

• Classification of near-horizon geometries of extremal black holes
• The Near Horizon Geometry Equation on Compact 2-Manifolds Including the General Solution for g > 0
• The Petrov type D isolated null surfaces
• Spacetimes foliated by non-expanding and Killing horizons: higher dimension
• Towards a classification of vacuum near-horizons geometries
• Near Horizon Geometries and Black Hole Holograph
• Axisymmetric, extremal horizons in the presence of a cosmological constant
• Rigidity of the extremal Kerr-Newman horizon
• When Isolated Horizons met Near Horizon Geometries
• Extremal Black Holes from Homotopy Algebras