Images for a Binary Gravitational Lens from a Single Real Algebraic Equation

Abstract

It is shown that the lens equation for a binary gravitational lens being a set of two coupled real fifth-order algebraic equations (equivalent to a single complex equation of the same order) can be reduced to a single real fifth-order algebraic equation, which provides a much simpler way to study lensing by binary objects.

4 pages; accepted for publication in A&A Letters

Cited by in corpus (10)

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• Caustics of $1/r^n$ binary gravitational lenses: from galactic haloes to exotic matter
• Strong Lensing by Binary Galaxies Modelled as Isothermal Spheres
• Images for an Isothermal Ellipsoidal Gravitational Lens from a Single Real Algebraic Equation
• Euclidean Algorithm for a Gravitational Lens in a Polynomial Equation
• Perturbation theory of N point-mass gravitational lens systems without symmetry: small mass-ratio approximation
• An optical n-body gravitational lens analogy
• Effects of a deformation of a star on the gravitational lensing
• Evolutionary algorithm-based analysis of gravitational microlensing lightcurves
• Effects of the core radius of an isothermal ellipsoidal gravitational lens on the caustics and the critical curves