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Deflection angle of a light ray reflected by a general marginally unstable photon sphere in a strong deflection limit

Published 27 Aug 2020 in gr-qc | (2008.12244v2)

Abstract: We investigate the deflection angle in a strong deflection limit for a marginally unstable photon sphere in a general asymptotically flat, static and spherically symmetric spacetime under some assumptions to calculate observables. The deflection angle of a light ray reflected by the marginally unstable photon sphere diverges nonlogarithmically while the one reflected by a photon sphere diverges logarithmically. We apply our formula to a Reissner-Nordstrom spacetime and Hayward spacetime.

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