Towards uniqueness of degenerate axially symmetric Killing horizon
Jacek Jezierski, Bartek Kami\'nski
TL;DR
This paper investigates the stability of extremal Kerr horizons by analyzing linearized equations and providing arguments for their stability under generic perturbations.
Contribution
It offers new insights into the stability of extremal Kerr horizons through linearized analysis and arguments for stability against non-symmetric perturbations.
Findings
Linearized equations around extremal Kerr horizon analyzed.
Arguments presented for horizon stability under generic perturbations.
Contributes to understanding of black hole horizon stability.
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.
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