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arXiv · 2608.30759

Geometric origin of intrinsic rigidity for extremal horizons

Wojciech Kamiński·Adam Szereszewski
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Abstract

Our work clarifies the origin of enhanced symmetry of near horizon geometries. We relate this property to an existence of specific foliation by non-expanding horizons. The existence of this foliation can be shown in any spacetime satisfying null convergence condition. Our proof is geometric and based on analyzing null hypersurfaces in near horizon geometry spacetimes.

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Wojciech Kamiński, Adam Szereszewski. 2026-08-31. Geometric origin of intrinsic rigidity for extremal horizons. https://arxiv.org/abs/2608.30759

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