On the cosmic distance duality relation and the strong gravitational lens power law density profile. (arXiv:2104.06202v2 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Lima_F/0/1/0/all/0/1">F. S. Lima</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Holanda_R/0/1/0/all/0/1">R. F. L. Holanda</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Pereira_S/0/1/0/all/0/1">S. H. Pereira</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Silva_W/0/1/0/all/0/1">W. J. C. da Silva</a>
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 ($rho propto
r^{-gamma}$) is consistent with the cosmic distance duality relation (CDDR),
$D_L(1+z)^{-2}/D_A=eta(z)=1$, 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
$sigma_{ap} geq 300$ km/s (where $sigma_{ap}$ is the lens apparent stellar
velocity dispersion) is in full agreement with the CDDR validity, the
sub-sample with intermediate $sigma_{ap}$ values ($200 leq sigma_{ap} <
300)$ km/s is marginally consistent with $eta=1$ and, finally, the sub-sample
with low $sigma_{ap}$ values ($sigma_{ap} < 200$ 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 $sigma_{ap}$ values and it is only an
approximate description to lenses with intermediate mass interval. }
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 ($rho propto
r^{-gamma}$) is consistent with the cosmic distance duality relation (CDDR),
$D_L(1+z)^{-2}/D_A=eta(z)=1$, 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
$sigma_{ap} geq 300$ km/s (where $sigma_{ap}$ is the lens apparent stellar
velocity dispersion) is in full agreement with the CDDR validity, the
sub-sample with intermediate $sigma_{ap}$ values ($200 leq sigma_{ap} <
300)$ km/s is marginally consistent with $eta=1$ and, finally, the sub-sample
with low $sigma_{ap}$ values ($sigma_{ap} < 200$ 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 $sigma_{ap}$ values and it is only an
approximate description to lenses with intermediate mass interval. }
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