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Higher-dimensional electric-magnetic photon sphere uniqueness

Published 8 Aug 2025 in gr-qc and hep-th | (2508.06099v1)

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.

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