The Lens Effect of a Big Spherical Inhomogeneity in the Linear Approximation
Abstract
The authors address a large gravitational lens, of dimensions comparable with observerlenssource distances, for arbitrary lensobserversource angles. The lens is approximated by a small, pressureless, spherically symmetric perturbation in an Einsteinde 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 April 1990
 DOI:
 10.1086/168545
 Bibcode:
 1990ApJ...352..399M
 Keywords:

 Computational Astrophysics;
 Gravitational Lenses;
 Minkowski Space;
 Angular Momentum;
 Approximation;
 Linear Equations;
 Luminosity;
 Astrophysics;
 COSMOLOGY;
 GRAVITATIONAL LENSES