PreprintCC BY 4.0arXiv
Geometric origin of intrinsic rigidity for extremal horizons
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.
Related
- Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum
- Amplification of metric perturbations by extremal horizons
- Mass inflation or scalaron rigidity: Cauchy horizons in metric f(R)
- Entanglement as Topology: Hopf Linking as the Geometric Origin of Quantum Correlation
- Geometric origin of oxygen ordering and the solubility limit in niobium
BibTeX
@misc{kaminski2026geometric,
title = {{Geometric origin of intrinsic rigidity for extremal horizons}},
author = {Wojciech Kamiński and Adam Szereszewski},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30759},
eprint = {2608.30759},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30759},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometric origin of intrinsic rigidity for extremal horizons
AU - Wojciech Kamiński
AU - Adam Szereszewski
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30759
UR - https://arxiv.org/abs/2608.30759
AB - 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.
ER -