Statistics – Computation
Scientific paper
Feb 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993a%26a...268....1b&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 268, no. 1, p. 1-13.
Statistics
Computation
35
Cosmology, Gravitational Lenses, Quasars, Astronomical Models, Computational Astrophysics, Dark Matter, Monte Carlo Method, Statistical Analysis
Scientific paper
Large-scale correlations between Lick galaxies and radio-loud, distant QSOs have been observed and interpreted in terms of gravitational lensing (Fugmann 1990). We argue that, if gravitational lensing is indeed responsible for such correlations, this is a most remarkable observation, and try to understand whether lensing may account for it. To do so, we use the lensing properties of a model for dark matter inhomogeneities on large scales, based on the adhesion approximation, to construct artificial QSO samples. (Model) galaxy counts in the vicinity of the (synthetic) sample QSOs are then subjected to rank-order statistical analyses. We find that statistically significant large-scale correlations between QSOs and galaxies can indeed be caused by gravitational lensing, but the amplitude of this effect depends sensitively on the assumed intrinsic luminosity function of the QSOs, the flux threshold of the (synthetic) sample, and the source redshift. We conclude that gravitational lensing can indeed account for QSO-galaxy associations on angular scales as large as some ten arc minutes. We also find that this effect can only be understood in terms of lensing by dark matter inhomogeneities.
Bartelmann Matthias
Schneider Pat
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