Gravitational Lens Differential Time Delay Distributions and the Density Profile of Dark Halos

Details Gravitational Lens Differential Time Delay Distributions and the Density Profile of Dark Halos Gravitational Lens Differential Time Delay Distributions and the Density Profile of Dark Halos

Dec 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aas...199.7502t&link_type=abstract

American Astronomical Society, 199th AAS Meeting, #75.02; Bulletin of the American Astronomical Society, Vol. 33, p.1418

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Scientific paper

The distribution of differential time delays Δ t between images produced by strong gravitational lensing contains information on the mass distributions in the lensing objects as well as on cosmological parameters such as H0. We derive an explicit expression for the conditional probability distribution function of time delays P(Δ t | θ ) given an image separation of multiple images θ and related statistics assuming that the lensing halos are described by the singular isothermal sphere (SIS) and the generalization of the profile proposed by Navarro, Frenk, & White (NFW) which has the density profile of the form ρ r-α in the innermost region. The time delay distribution is sensitive to these profiles; steeper inner slopes tend to produce larger time delays. For example, if H0=70 km s-1 Mpc-1 and Λ -dominated cosmology are assumed, lenses with θ =5'' induce the time delay; Δ t[yr]=1.2+1.4-0.7, 0.30+0.28-0.16, 0.093+0.073-0.050, and 0.040+0.031-0.021 (50% level), for SIS, generalized NFW with α =1.5, α =1.0, and α =0.5, respectively.

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