On the cosmic distance duality relation and the strong gravitational lens power law density profile

F. S. Lima; R. F. L. Holanda; S. H. Pereira; W. J. C. da Silva

doi:10.1088/1475-7516/2021/08/035

paper

On the cosmic distance duality relation and the strong gravitational lens power law density profile

arXiv:2104.06202 · doi:10.1088/1475-7516/2021/08/035

Abstract

Many new strong gravitational lensing (SGL) systems have been discovered in the last two decades with the advent of powerful new space and ground-based telescopes. The effect of the lens mass model (usually the power-law mass model) on cosmological parameters constraints has been performed recently in literature. In this paper, by using SGL systems and Supernovae type Ia observations, we explore if the power-law mass density profile ( $ρ \propto r^{- γ}$ ) is consistent with the cosmic distance duality relation (CDDR), $D_{L} (1 + z)^{- 2} / D_{A} = η (z) = 1$ , by considering different lens mass intervals. { It has been obtained that the verification of the CDDR validity is significantly dependent on lens mass interval considered: the sub-sample with $σ_{a p} \geq 300$ km/s (where $σ_{a p}$ is the lens apparent stellar velocity dispersion) is in full agreement with the CDDR validity, the sub-sample with intermediate $σ_{a p}$ values ( $200 \leq σ_{a p} < 300)$ km/s is marginally consistent with $η = 1$ and, finally, the sub-sample with low $σ_{a p}$ values ( $σ_{a p} < 200$ km/s) ruled out the CDDR validity with high statistical confidence. Therefore, if one takes the CDDR as guarantee, our results suggest that using a single density profile is not suitable to describe lens with low $σ_{a p}$ values and it is only an approximate description to lenses with intermediate mass interval. }

arXiv comment8 pages, 4 figures, I table, Accepted for publication in the JCAP

On the cosmic distance duality relation and the strong gravitational lens power law density profile

Abstract

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