http://arxiv.org/abs/1611.09426
Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the validity of the cosmic distance duality relation (CDDR), $D_L(z)/[(1+z)^2D_A(z)]=\eta=1$, where $D_L(z)$ and $D_A(z)$ are the luminosity and the angular diameter distances at a given redshift $z$. However, most of these lensing systems lie beyond the redshift range of current SNe Ia data, which prevents this kind of test to be fully explored. In this paper, we circumvent this problem by testing the CDDR considering observations of strong gravitational lensing along with SNe Ia and the latest gamma-ray burst distance modulus data, whose redshift range is $0.033 < z < 9.3$. We consider different $\eta(z)$ functions and obtain that the CDDR validity ($\eta_0=0$) is verified within 1.5$\sigma$ when a power law is used to describe the mass distribution in the lensing systems.
R. Holanda, V. Busti, F. Lima, et. al.
Wed, 30 Nov 16
9/69
Comments: 5 pages, 2 figures
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