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.

arXiv comment17 pages

References in corpus (8)

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• Geometry of Generic Isolated Horizons
• A classification of near-horizon geometries of extremal vacuum black holes
• On non-existence of static vacuum black holes with degenerate components of the event horizon
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• Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
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• Spacetimes foliated by Killing horizons

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