Uniqueness of the static spacetimes with a photon sphere in Einstein-scalar field theory

Stoytcho Yazadjiev
Phys. Rev. D 91, 123013 – Published 22 June 2015

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 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 q2M2<3.

  • Received 4 February 2015

DOI:https://doi.org/10.1103/PhysRevD.91.123013

© 2015 American Physical Society

Authors & Affiliations

Stoytcho Yazadjiev*

  • Department of Theoretical Physics, Faculty of Physics, Sofia University, 5 J. Bourchier Boulevard, Sofia 1164 Bulgaria and Theoretical Astrophysics, Eberhard-Karls University of Tübingen, Tübingen 72076, Germany

  • *yazad@phys.uni-sofia.bg

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Issue

Vol. 91, Iss. 12 — 15 June 2015

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