Paper detail

On the origin of the CDDR violation

The investigation of any violation in the Cosmic Distance Duality Relation (CDDR) is one of the most important sources of investigation for a new physic. In this paper we propose a new method to find the origin of a possible violation on the CDDR. Such violation is defined from the equation $\frac{d_L}{d_A(1+z)^2} = η$, with $η\neq 1$. We analyze the observational constraints from SNIa, BAO and $f_{gas}$ for the parameter $η$ using three different parameterizations. We create three data sets with the following combinations: (Set I) $d_L$ data from SNIa and $d_A$ data from BAO measurements, (Set II) $d_L$ data from $f_{gas}$ and $d_A$ from BAO measurements and (Set III) $d_L$ from SNIa and $d_A$ from $f_{gas}$ measurements. The sets have 18 points and a redshift difference between the observational pairs of $Δz \leq 0.08$. It is found that the difference between Sets I and II is up to five times higher than Sets I and III, what suggest that a violation in the CDDR come from a new physics related with the angular diameter distance.