New constraints on the distance duality relation from the local data. Issue 3 (1st August 2018)

• Record Type: Journal Article
• Authors: Lin, Hai-Nan; Li, Ming-Hua; Li, Xin
• Is Part Of: Monthly notices of the Royal Astronomical Society. Volume 480:Issue 3(2018)
• Page Start: 3117
• Page End: 3122
• Publication Date: 2018-08-01
• Subjects: supernovae: general -- cosmological parameters -- distance scale; Astronomy -- Periodicals; Periodicals; 520.5
• DOI: 10.1093/mnras/sty2062
• Languages: English
• ISSNs: 0035-8711

Abstract

ABSTRACT: The cosmic distance duality relation (DDR), which connects the angular diameter distance and luminosity distance through a simple formula DA ($z$ )(1 + $z$ ) 2 / DL ($z$ ) ≡ 1, is an important relation in cosmology. Therefore, testing the validity of DDR is of great importance. In this paper, we test the possible violation of DDR using the available local data including type Ia supernovae (SNe Ia), galaxy clusters, and baryon acoustic oscillations (BAO). We write the modified DDR as DA ($z$ )(1 + $z$ ) 2 / DL ($z$ ) = η($z$ ), and consider two different parameterizations of η($z$ ), namely η1 ($z$ ) = 1 + η0 $z$ and η2 ($z$ ) = 1 + η0 $z$ /(1 + $z$ ). The luminosity distance from SNe Ia are compared with the angular diameter distance from galaxy clusters and BAO at the same redshift. Two different cluster data are used here, i.e. elliptical clusters and spherical clusters. The parameter η0 is obtained using the Markov chain Monte Carlo methods. It is found that η0 can be strictly constrained by the elliptical clusters + BAO data, with the best-fitting values η0 = −0.04 ± 0.12 and η0 = −0.05 ± 0.22 for the first and second parametrizations, respectively. However, the spherical clusters + BAO data couldn't strictly constrain η0 due to the large intrinsic scatter. In any case studied here, no evidence for the violation of DDR is found.