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research
Improved Cosmological Constraints from Gravitational Lens Statistics
Authors
Browne I. W. A.
Charles R. Keeton
+16Â more
Cole S.
Fukugita M.
Fukugita M.
Jonathan L. Mitchell
Joshua A. Frieman
Kauffmann G.
Kauffmann G.
Lacey C.
Mao S. D.
Narayan R.
Patnaik A. R.
Patnaik A. R.
Patnaik A. R.
Prugniel P.
Quast R.
Ravi K. Sheth
Publication date
2 December 2004
Publisher
'University of Chicago Press'
Doi
Cite
View
on
arXiv
Abstract
We combine the Cosmic Lens All-Sky Survey (CLASS) with new Sloan Digital Sky Survey (SDSS) data on the local velocity dispersion distribution function of E/S0 galaxies,
Ï•
(
σ
)
\phi(\sigma)
Ï•
(
σ
)
, to derive lens statistics constraints on
Ω
Λ
\Omega_\Lambda
Ω
Λ
​
and
Ω
m
\Omega_m
Ω
m
​
. Previous studies of this kind relied on a combination of the E/S0 galaxy luminosity function and the Faber-Jackson relation to characterize the lens galaxy population. However, ignoring dispersion in the Faber-Jackson relation leads to a biased estimate of
Ï•
(
σ
)
\phi(\sigma)
Ï•
(
σ
)
and therefore biased and overconfident constraints on the cosmological parameters. The measured velocity dispersion function from a large sample of E/S0 galaxies provides a more reliable method for probing cosmology with strong lens statistics. Our new constraints are in good agreement with recent results from the redshift-magnitude relation of Type Ia supernovae. Adopting the traditional assumption that the E/S0 velocity function is constant in comoving units, we find a maximum likelihood estimate of
Ω
Λ
=
0.74
\Omega_\Lambda = 0.74
Ω
Λ
​
=
0.74
--0.78 for a spatially flat unvierse (where the range reflects uncertainty in the number of E/S0 lenses in the CLASS sample), and a 95% confidence upper bound of
Ω
Λ
<
0.86
\Omega_\Lambda<0.86
Ω
Λ
​
<
0.86
. If
Ï•
(
σ
)
\phi(\sigma)
Ï•
(
σ
)
instead evolves in accord with extended Press-Schechter theory, then the maximum likelihood estimate for
Ω
Λ
\Omega_\Lambda
Ω
Λ
​
becomes 0.72--0.78, with the 95% confidence upper bound
Ω
Λ
<
0.89
\Omega_\Lambda<0.89
Ω
Λ
​
<
0.89
. Even without assuming flatness, lensing provides independent confirmation of the evidence from Type Ia supernovae for a nonzero dark energy component in the universe.Comment: 35 pages, 15 figures, to be published in Ap
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Last time updated on 02/01/2020