Journal
PHYSICAL REVIEW D
Volume 91, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.123013
Keywords
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Funding
- Research Group Linkage Programme of the Alexander von Humboldt Foundation
- COST Action Grant [MP1304]
- Bulgarian National Science Foundation (NSF) Grant [DFNIT02/6]
- Sofia University Research Grant [70/2015]
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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 M and scalar charge q and that they are isometric to the Janis-Newman-Winicour solution with the same mass and scalar charge subject to the inequality q(2)/M-2 < 3.
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