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**publisher and metadata sources**).We apply an exact solution of a light deflection angle in the Schwarzschild metric, written with elliptic integrals, to the basic lensing theory. The magnifications for a point and a surface source… Continue Reading

We calculate a second-order approximation for the light-ray deflection in a Schwarzschild metric. The approximation is based on Darwin's exact solution for the deflection angle, which is written in… Continue Reading

We have developed an analytical theory for axially symmetric lensing with generalized mass density profile [1]. We apply the theory to the statistical study of double-image quasar lenses. Our aim is… Continue Reading

We have developed an analytic formulation for axially symmetric GNFW lens model with parametrized cusp slope (α). The lensing theory has several implications, for example strong lensing is very… Continue Reading

We derive a simple semi-analytical approximation for lens equations with an arbitrary radially symmetric mass density ρ(r), when r/ξ0≪ 1 and ξ0 is the scalelength of the density profile. At the… Continue Reading

We have been able to connect statistics of the observed double-image gravitational lenses to general properties of the internal structure of lens haloes. Our analytical theory for the generalization… Continue Reading

We have developed an analytical theory for axially symmetric lensing with the generalized Navarro-Frenk-White density profile (GNFW). The density profile is strongly cusped at the center, i.e. when r… Continue Reading