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arXiv · 2508.06099

Higher-dimensional electric-magnetic photon sphere uniqueness

Marek Rogatko
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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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Marek Rogatko. 2025-08-08. Higher-dimensional electric-magnetic photon sphere uniqueness. https://doi.org/10.1103/y6b3-zhqz

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