Testando a relação de dualidade das distâncias cósmicas em altos redshifts.

Abstract

The quantity and quality of the observational data that we contemplate today allow basic hypotheses of the standard Cosmology to be tested. One of these hypotheses is the Duality Ratio of Cosmic Distances (RDDC), DL(1 + z)-2 DA = ŋ(z) = 1, where DL and DA are, respectively, the distances of luminosity and angular diameter, being equal only for low redshifts. Measurements of strong gravitational lensing jointly with type Ia supernovae (SNe Ia) observations have been used to test the consistency of the RDDC. However, several lensing systems lie in the interval 1,4 ≤ ≠ ≤ 3.6, that is, besides the redshits of the SNe Ia(z ≈ 1,5), which prevents this type of test from being fully exploited. In this disstation, we have circumvented this problem to test the RDDC through the use observations of SGL along with SNe Ia and a subsample from the latest Gamma-ray Burst distance modulus data, whose redshift range is 0,033 ≤ ≠ ≤ 9,3. In addition, we consider four parametrizations for the ŋ(z): ŋ(z) = 1 + ŋOz (Pl) ; ŋ(z) = 1 + ŋOz /(1+ z) (P2); ŋ(z) = (1 + z)"° (P3) c ŋ(z) = 1 + ŋ In(1 + z) (P4). Unlike previous tests, the RDDC strongly depends on the parameterization used, although no significant violation has been found.