2013
DOI: 10.1088/2041-8205/777/2/l24
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An Improved Method to Test the Distance-Duality Relation

Abstract: Many researchers have performed cosmological-model-independent tests for the distanceCduality (DD) relation. Theoretical work has been conducted based on the results of these tests. However, we find that almost all of these tests were perhaps not cosmological-model-independent after all, because the distance moduli taken from a given type Ia supernovae (SNe Ia) compilation are dependent on a given cosmological model and Hubble constant. In this Letter, we overcome these defects and by creating a new cosmologic… Show more

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Cited by 52 publications
(51 citation statements)
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References 23 publications
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“…that is produced by the compression. The parameter M in Equation (4) is degenerate with H 0 as discussed in M16 (see also Yang et al 2013), and it is possible to eliminate M and to obtain d L that is directly comparable to d A . We exploit the fact that at the lowest available, or the "anchoring" redshift z 1 = 0.01, the luminosity distance can be approximated to the second order as…”
Section: Snia Luminosity Distancementioning
confidence: 99%
See 1 more Smart Citation
“…that is produced by the compression. The parameter M in Equation (4) is degenerate with H 0 as discussed in M16 (see also Yang et al 2013), and it is possible to eliminate M and to obtain d L that is directly comparable to d A . We exploit the fact that at the lowest available, or the "anchoring" redshift z 1 = 0.01, the luminosity distance can be approximated to the second order as…”
Section: Snia Luminosity Distancementioning
confidence: 99%
“…However, angular distance measurements from galaxy cluster observations are cosmological-model dependent (see, e.g., Bonamente et al 2006). Furthermore, astrophysical uncertainties such as the three-dimensional profile of intra-cluster plasma may significantly affect the estimation of d A (Meng et al 2012;Yang et al 2013). Recent works have instead used angulardiameter distance measurements from observations of strong lens systems (Holanda et al 2016Liao et al 2016;Fu & Li 2017;Rana et al 2017).…”
Section: Introductionmentioning
confidence: 99%
“…In principle, modifying the temperature definition with the parametrization (26) implies a different use of cosmic distances. This is intimately related to the duality problem [37,38] between the luminosity and angular distances. In this work, we assume that δ ∼ 0 and may be parameterized by δ = β − 1, with β 1.…”
Section: The Volume and Its Evolution In Terms Of The Redshiftmentioning
confidence: 97%
“…It plays an essential role in cosmological observations and in the last years it has been tested by several authors in different cosmological context [39,40,41,42,43,44] (see Table I in [45] for recent results).…”
Section: Scalar-tensor Theories Coupled To Electromagnetic Sectormentioning
confidence: 99%