Strong gravitational lensing from compact bodies: analytical results

Abstract

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.

18 pages, 9 figures, 1 table changed title References added; minor changes Title changed

References in corpus (2)

• Braneworld black hole gravitational lens: Strong field limit analysis
• Kerr-Sen dilaton-axion black hole lensing in the strong deflection limit

Cited by in corpus (5)

• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• Towards constraining of the Horava-Lifshitz gravities
• Gravitational lensing of transient neutrino sources by black holes
• Braneworld Black Holes