Mathematics
Scientific paper
Jul 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...162....1n&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 162, no. 1-2, July 1986, p. 1-4.
Mathematics
5
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.
Chauvineau Bertrand
Nottale Laurent
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