Multiple gravitational lensing

Mathematics

Scientific paper

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Cosmology, Gravitational Lenses, Optical Properties, Universe, Differential Equations, Light Beams, Matrices (Mathematics), Scalars

Scientific paper

The authors develop a new approach for solving the Optical Scalar Equations in inhomogeneous cosmology. In terms of the "optical distance" (Nottale and Hammer, 1984), the propagation of a light beam diameter is linear in a Friedmann universe, while it is given by a simple equation in regions of higher or lower density than the mean cosmological density. This formalism is used to find a general formula for the global Ricci amplification by multiple gravitational lenses: In most situations, this differs significantly from the product of the amplifications by each individual lens.

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