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arXiv · 1911.10560

On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family

Li Lai·Jiong-Yue Li·Pin Yu
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Abstract

We prove a perturbative result concerning the uniqueness of Kerr-Newman family of black holes: given an asymptotically flat space-time with bifurcate horizons, if it agrees with a non-extremal Kerr-Newman space-time asymptotically flat at infinity and it is sufficiently close to the Kerr-Newman family, then the space-time must be one of the Kerr-Newman solutions. The closeness to the Kerr-Newman family is measured by the smallness of a pair of Mars-Simon type tensors, which were introduced by Wong in \cite{Wong_09} to detect the Kerr-Newmann family.

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Li Lai, Jiong-Yue Li, Pin Yu. 2019-11-24. On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family. https://arxiv.org/abs/1911.10560

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