Mathematics – Logic
Scientific paper
Jul 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995aipc..336..297k&link_type=abstract
Dark matter. AIP Conference Proceedings, Volume 336, pp. 297-306 (1995).
Mathematics
Logic
Dark Matter, Gravitational Lenses And Luminous Arcs, Galaxy Clusters, Observational Cosmology
Scientific paper
Standard Ω0=1 cold dark matter (CDM) needs 0.27<σ8<0.63 (2σ) to fit the observed number of large separation lenses. This range is strongly inconsistent with the COBE estimate of σ8=(2.8+/-0.2)h. Tilting the primordial spectrum ~kn from n=1 to 0.2<~n<~0.7, using an effective Hubble constant of 0.15<~Γ=h<~0.30, or reducing the matter density to 0.15<~Ω0h<~0.3 either with no cosmological constant (λ0=0) or in a flat universe with a cosmological constant (Ω0+λ0=1) can bring the lensing estimate of σ8 into agreement with the COBE estimates. The statistics of gravitational lensing by galaxies are incompatible with large cosmological constants λ and low cosmological densities Ω. The 90% confidence limits are Ω>~0.5 in flat cosmologies, and Ω>~0.2 in standard cosmologies. The statistics of lenses and models of individual lenses are inconsistent with constant mass-to-light ratio models of E/S0 galaxies and consistent with isothermal models of E/S0 galaxies. Even the inner regions of E/S0 galaxies must contain dark matter.
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