Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime

2016/12/31 by Naoki Tsukamoto · 156 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Deflection (physics) #Mathematical analysis #Mathematics #Physics #Quantum mechanics #Spacetime #Wormhole #gr-qc

paper · pdf · doi:10.1103/physrevd.95.064035

published in Physical review. D/Physical review. D. 95(6) (American Physical Society) · 20 pages, 1 figure, minor correction, accepted for publication in Physical Review D

arxiv created 2017/03/08 · openalex publication_date 2017/03/22 · arxiv updated 2017/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Gravitational lensing by the light sphere of compact objects like black holes and wormholes will give us information on the compact objects. In this paper, we provide an improved strong deflection limit analysis in a general asymptotically flat, static, spherically symmetric spacetime. The strong deflection limit analysis also works in ultrastatic spacetimes. As an example of an ultrastatic spacetime, we reexamine the deflection angle in the strong deflection limit in an Ellis wormhole spacetime. Using the strong deflection limit, we obtain the deflection angle analytically for the Reissner-Nordstrom spacetime. The point of the improvement is the definition of a standard variable in the strong deflection limit analysis. We show that the choice of the variable is as important as the choice of the coordinates and we conclude that one should choose a proper variable for a given spacetime.

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