Higher-dimensional electric-magnetic photon sphere uniqueness
arXiv:2508.06099 · doi:10.1103/y6b3-zhqz
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.
RevTex 21 pages, to be published in Phys.Rev. D15