Higher-dimensional electric-magnetic photon sphere uniqueness
Marek Rogatko
TL;DR
This paper proves the uniqueness of higher-dimensional electro-magnetic static solutions with photon spheres in Einstein (n-2)-form gauge field gravity, showing they are fully characterized by their asymptotic data using the conformal positive energy theorem.
Contribution
It establishes a classification result for higher-dimensional electro-magnetic solutions with photon spheres, extending uniqueness theorems to more complex gravity theories.
Findings
Photon spheres are uniquely determined by asymptotic data.
The conformal positive energy theorem is effective in higher-dimensional gravity.
The results generalize known uniqueness theorems to multi-dimensional Einstein (n-2)-form theories.
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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