http://arxiv.org/abs/1801.04344
In this paper, by considering an absorption probability independent of photon wavelength, we show that current type Ia supernovae (SNe Ia) and gamma ray bursts (GRBs) observations plus high redshift measurements of the cosmic microwave background radiation (CMB) temperature support the cosmic acceleration regardless the transparent universe assumption. Two flat scenarios are considered in our analyses: $\Lambda$CDM model and a kinematic model. We consider $\tau(z)=2\ln(1+z)^{\varepsilon}$, where $\tau(z)$ denote the opacity between an observer at $z=0$ and a source at $z$. This choice is equivalent to deform the cosmic distance duality relation as $D_LD^{-1}A = (1 + z)^{2+\varepsilon}$ and, if the absorption probability is independent of photon wavelength, the CMB temperature evolution law is $T{CMB}(z)=T_0(1+z)^{1+2\varepsilon/3 }$. By marginalizing on the $\varepsilon$ parameter, our analyses rule out a decelerating universe at 99.99 \% c.l. for all scenarios considered. Interestingly, by considering only SNe Ia and GRBs observations, we obtain that a decelerated universe, indicated by $\Omega_{\Lambda} \leq 0.33$ and $q_0 > 0$, is ruled out around 1.5$\sigma$ c.l. and 2$\sigma$ c.l., respectively, regardless the transparent universe assumption.
R. Holanda, S. Pereira and D. Jain
Tue, 16 Jan 18
69/79
Comments: 11 pages, 4 figures, I table, accepted for publication in the Physical Review D