On rigidity of analytic black holes
Piotr T. Chru\'sciel
TL;DR
This paper proves that locally defined symmetries of certain analytic black holes can be extended globally, resolving a key gap in the proof of black-hole rigidity by Hawking and Ellis.
Contribution
It establishes the global extendibility of isometries for analytic black holes, advancing the mathematical understanding of black-hole symmetry properties.
Findings
Proves global extendibility of local isometries in analytic black holes.
Fills a gap in the Hawking-Ellis proof of black-hole rigidity.
Enhances the theoretical foundation of black-hole symmetry analysis.
Abstract
We establish global extendibility (to the domain of outer communications) of locally defined isometries of appropriately regular analytic black holes. This allows us to fill a gap in the Hawking-Ellis proof of black-hole rigidity.
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