Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984a%26a...140..119s&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 140, no. 1, Nov. 1984, p. 119-124.
Astronomy and Astrophysics
Astrophysics
59
Cosmology, Galaxies, Gravitational Lenses, Quasars, Amplification, Light Amplifiers, Luminosity, Mass Distribution, Red Shift
Scientific paper
The possible presence of an amplification factor in images affected by a gravitational lens is examined theoretically. A small transverse distance is assumed between the transverse and undeflected rays and the lens gas is treated as having the capability of scattering and absorbing photons. The deflection angle is approximated using linearized Einstein equations and the mapping of the lens plane on the observer plane is considered. An inverse Jacobian of the mapping characterizes the amplification. It is shown that for every location on the observer plane, there is an inverse image whose absolute intensity is greater than the original intensity. The amount of amplification is proportional to the luminosity-redshift relation calculated for a lumpy universe.
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