The statistics of gravitational lenses. II - Apparent evolution in the quasars' luminosity function

Mathematics – Logic

Scientific paper

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Cosmology, Gravitational Lenses, Luminosity, Quasars, Approximation, Optical Thickness, Red Shift

Scientific paper

The influence of lensing on the luminosity function of quasars is computed using as input the properties of the scattering galaxies and the selection criteria which form a flux-limited sample. The approach developed by Vietri and Ostriker (1983) is generalized to include mini- and maxilensing, a realistic mass distribution within galaxies, a realistic galaxy-mass spectrum, cosmological effects including energy conservation, and Turner's amplification bias. The influence of galaxy clusters and superclusters is neglected. It is concluded that, if minilensing is neglected, the effect of gravitational lensing is negligible, and the main effect of maxilensing is the production of small numbers of large-separation multiple images. If minilensing is included, the intrinsic evolution of quasars is less than demanded by the V/V(max) test. If minilensing occurs, most bright objects observed with redshift greater than two must have been minilensed.

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