The lens effect of a big spherical inhomogeneity in the linear approximation

Statistics – Computation

Scientific paper

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Computational Astrophysics, Gravitational Lenses, Minkowski Space, Angular Momentum, Approximation, Linear Equations, Luminosity

Scientific paper

The paper addresses a large gravitational lens, of dimensions comparable with observer-lens-source distances, for arbitrary lens-observer-source angles. The lens is approximated by a small, pressureless, spsherically symmetric perturbation in a Einstein-de Sitter universe. The deflection angle contains essential terms which do not appear when the lens is approximated by an isolated body in a Minkowskian space. These terms should be considered to study the optical appearance of the inhomogeneity. The lens equation explicitly conserves brightness over the whole celestial sphere of the observer.

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