Classification of static asymptotically flat spacetimes with a photon sphere in Einstein-multiple-scalar field theory
arXiv:2109.02945 · doi:10.1103/PhysRevD.104.124070
Abstract
In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and asymptotically flat solutions which posses a photon sphere are uniquely specified by their asymptotic data, i.e. by their mass, scalar charges and asymptotic values of the scalar fields. The unique solution with a photon sphere and prescribed asymptotic data is explicitly constructed.
arXiv comment11 pages, LaTex
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