Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-10-30
Phys.Rev.D75:083005,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
18 pages, 9 figures, 1 table changed title References added; minor changes Title changed
Scientific paper
10.1103/PhysRevD.75.083005
We develop a non--perturbative method that yields analytical expressions for the deflection angle of light in a general static and spherically symmetric metric. It is an improvement on a method previously devised by the authors, and provides a correct description of the photon sphere already to first order. We also propose an alternative approach that provides general simpler formulas, although with larger errors. We apply our technique to different metrics and verify that the error is at most $0.5 %$ for {\sl all} regimes. We show that our approximation is more accurate than others proposed earlier.
Amore Paolo
Cervantes Mayra
Fernandez Francisco M.
Pace Arturo de
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