Analytical formulas for gravitational lensing
arXiv:gr-qc/0602106 · doi:10.1103/PhysRevD.73.083004
Abstract
In this paper we discuss a new method which can be used to obtain arbitrarily accurate analytical expressions for the deflection angle of light propagating in a given metric. Our method works by mapping the integral into a rapidly convergent series and provides extremely accurate approximations already to first order. We have derived a general first order formula for a generic spherically symmetric static metric tensor and we have tested it in four different cases.
12 pages, 6 figures; added one section with estimation of the rate of convergence of the method; modified fig.2; added some refs
References in corpus (16)
- Schwarzschild black hole lensing
- Gravitational lensing in the strong field limit
- Reissner-Nordstrom black hole lensing
- Gravitational Bending of Light Near Compact Objects
- Spacetime perspective of Schwarzschild lensing
- On the exact gravitational lens equation in spherically symmetric and static spacetimes
- Formalism for Testing Theories of Gravity Using Lensing by Compact Objects. I: Static, Spherically Symmetric Case
- Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
- Gravitational lensing by a charged black hole of string theory
- Strong gravitational lensing by braneworld black holes
- Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
- Gravitational lensing by Einstein-Born-Infeld black holes
- Braneworld black hole gravitational lens: Strong field limit analysis
- Systematic perturbation calculation of integrals with applications to physics
- The period of a classical oscillator
- Non perturbative regularization of one loop integrals at finite temperature
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