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research
Cosmological parameters and the redshift distribution of gravitational lenses
Authors
Phillip Helbig
Rainer Kayser
Publication date
1 September 1995
Publisher
View
on
arXiv
Abstract
For known gravitational lens systems the redshift distribution of the lenses is compared with theoretical expectations for
1
0
4
10^{4}
1
0
4
~Friedmann-Lema\^\i tre~cosmological models, which more than cover the range of possible cases. The comparison is used for assigning a relative probability to each of the models. The entire procedure is repeated for different values of the inhomogeneity parameter~
η
\eta
η
and the limiting spectroscopic magnitude~
m
l
i
m
m_{\rm lim}
m
lim
​
, which is important for selection effects. The dependence on these two parameters is examined in more detail for the special cases~
λ
0
=
0
\lambda_{0}=0
λ
0
​
=
0
and
k
=
0
k=0
k
=
0
. Previous results that this method is a better probe for~
λ
0
\lambda_{0}
λ
0
​
than
Ω
0
\Omega_{0}
Ω
0
​
are confirmed, but it appears that the low probability of models with large~
λ
0
\lambda_{0}
λ
0
​
~values found using similar methods is due to a selection effect. The power of this method to discriminate between cosmological models can of course be improved if more gravitational lens systems are found. However, our numerical simulations indicate that a reasonable number of observed systems cannot deliver interesting constraints on the cosmological parameters.Comment: One self-unpacking uuencoded compressed PostScript file (created with uufiles) containing the complete text with all figures included (here 140kb gzipped, unpacked 975kb). 10 pages. Should be printable without loss on US-size paper. Paper version available on request. Changes--nothing removed, typos corrected, the following additions: one figure, one table and some text explaining the structure in the plots in more detail; more detailed explanation of the statistics used. Accepted by Astronomy and Astrophysic
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Last time updated on 16/03/2020