Higher-dimensional electric-magnetic photon sphere uniqueness
General Relativity and Quantum Cosmology
2025-08-28 v1 High Energy Physics - Theory
Abstract
In our paper we pay attention to the problem of uniqueness (classification) of higher-dimensional electro-magnetic static, asymptotically flat, non-extremal solutions of multi-dimensional Einstein (n-2)-form gauge field gravity theory, which possess a photon sphere. The photon sphere is uniquely described by its asymptotic data. Conformal positive energy theorem is the key tool in the proof.
Keywords
Cite
@article{arxiv.2508.06099,
title = {Higher-dimensional electric-magnetic photon sphere uniqueness},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:2508.06099},
year = {2025}
}
Comments
RevTex 21 pages, to be published in Phys.Rev. D15