Abstract
In the present paper we prove a uniqueness theorem for the static and asymptotically flat solutions to the Einstein-scalar field equations which possess a photon sphere. We show that such solutions are uniquely specified by their mass and scalar charge and that they are isometric to the Janis-Newman-Winicour solution with the same mass and scalar charge subject to the inequality .
- Received 4 February 2015
DOI:https://doi.org/10.1103/PhysRevD.91.123013
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