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Flux-limited strong gravitational lensing and dark energy
In the standard flat cosmological constant () cold dark matter (CDM)
cosmology, a model of two populations of lens halos for strong gravitational
lensing can reproduce the results of the Jodrell-Bank VLA Astrometric Survey
(JVAS) and the Cosmic Lens All-Sky Survey (CLASS) radio survey. In such a
model, lensing probabilities are sensitive to three parameters: the
concentration parameter , the cooling mass scale and the
value of the CDM power spectrum normalization parameter . The value
ranges of these parameters are constrained by various observations. However, we
found that predicted lensing probabilities are also quite sensitive to the flux
density (brightness) ratio of the multiple lensing images,
which has been, in fact, a very important selection criterion of a sample in
any lensing survey experiments. We re-examine the above mentioned model by
considering the flux ratio and galactic central Super Massive Black Holes
(SMBHs), in flat, low-density cosmological models with different cosmic
equations of state , and find that the predicted lensing probabilities
without considering are over-estimated. A low value of
can be compensated by raising the cooling mass scale
in fitting the predicted lensing probabilities to JVAS/CLASS
observations. In order to determine the cosmic equation of state , the
uncertainty in must be resolved. The effects of SMBHs cannot be
detected by strong gravitational lensing method when .Comment: 7 pages, 2 figures, corrected to match published version in A&
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