COSMOLOGICAL-MODEL-INDEPENDENT TESTS FOR THE DISTANCE–DUALITY RELATION FROM GALAXY CLUSTERS AND TYPE Ia SUPERNOVA

Li, Zheng‐Xiang; Wu, Puxun; Yu, Hongwei

doi:10.1088/2041-8205/729/1/l14

Cited by 101 publications

(117 citation statements)

References 21 publications

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“…In this context, we recall that Li et al (2011) rediscussed this independent cosmological test using the latest Union2 SNe Ia data and the angular diameter distances from galaxy clusters. However, they removed six and twelve data points, respectively, from the De Filippis et al (2005) and Bonamente et al (2006) samples and obtained a more serious violation of the DD relation.…”

Section: Testing the Dd Relation With Galaxy Clusters And Sne Iamentioning

confidence: 99%

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

Holanda

Lima

Ribeiro

2012

A&A

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Context. The angular diameter distances toward galaxy clusters can be determined with measurements of Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation,and D A (z) are, respectively, the luminosity and angular diameter distances. This combination enables us to probe galaxy cluster physics or even to test the validity of the distance-duality relation itself. Aims. We explore these possibilities based on two different, but complementary approaches. Firstly, in order to constrain the possible galaxy cluster morphologies, the validity of the distance-duality relation (DD relation) is assumed in the ΛCDM framework (WMAP7). Secondly, by adopting a cosmological-model-independent test, we directly confront the angular diameters from galaxy clusters with two supernovae Ia (SNe Ia) subsamples (carefully chosen to coincide with the cluster positions). The influence of the different SNe Ia light-curve fitters in the previous analysis are also discussed. Methods. We assumed that η is a function of the redshift parametrized by two different relations: η(z) = 1 + η 0 z, and η(z) = 1 + η 0 z/(1 + z), where η 0 is a constant parameter quantifying the possible departure from the strict validity of the DD relation. In order to determine the probability density function (PDF) of η 0 , we considered the angular diameter distances from galaxy clusters recently studied by two different groups by assuming elliptical and spherical isothermal β models and spherical non-isothermal β model. The strict validity of the DD relation will occur only if the maximum value of η 0 PDF is centered on η 0 = 0. Results. For both approaches we find that the elliptical β model agrees with the distance-duality relation, whereas the non-isothermal spherical description is, in the best scenario, only marginally compatible. We find that the two-light curve fitters (SALT2 and MLCS2K2) present a statistically significant conflict, and a joint analysis involving the different approaches suggests that clusters are endowed with an elliptical geometry as previously assumed. Conclusions. The statistical analysis presented here provides new evidence that the true geometry of clusters is elliptical. In principle, it is remarkable that a local property such as the geometry of galaxy clusters might be constrained by a global argument like the one provided by the cosmological distance-duality relation.

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Section: Testing the Dd Relation With Galaxy Clusters And Sne Iamentioning

confidence: 99%

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

Holanda

Lima

Ribeiro

2012

A&A

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“…Therefore, their results just satisfy the DD relation at 2σ CL for elliptical model. In subsequent papers, Li et al [18] and Meng et al [19] obtained the conclusion that DD relation can be accommodated at the 1σ CL for the elliptical model. In short, these cosmological model-independent tests suggest that the deviation of η from 1 is minor.…”

Section: Introductionmentioning

confidence: 95%

“…2) and there are generally two ways to test it's validity. The first way to constrain η is to combine the observed results of D L and D A both from observations [14,[17][18][19]. This method is popular because it is cosmological model-independent.…”

Section: Introductionmentioning

confidence: 99%

Constraining smoothness parameter and the DD relation of Dyer-Roeder equation with supernovae

Yang¹,

Yu²,

Zhang

2013

J. Cosmol. Astropart. Phys.

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Abstract. Our real universe is locally inhomogeneous. Dyer and Roeder introduced the smoothness parameter α to describe the influence of local inhomogeneity on angular diameter distance, and they obtained the angular diameter distance-redshift approximate relation (Dyer-Roeder equation) for locally inhomogeneous universe. Furthermore, the DistanceDuality (DD) relation, D L (z)(1 + z) −2 /D A (z) = 1, should be valid for all cosmological models that are described by Riemannian geometry, where D L and D A are, respectively, the luminosity and angular distance distances. Therefore, it is necessary to test whether if the Dyer-Roeder approximate equation can satisfy the Distance-Duality relation. In this paper, we use Union2.1 SNe Ia data to constrain the smoothness parameter α and test whether the Dyer-Roeder equation satisfies the DD relation. By using χ 2 minimization, we get α = 0.92 +0.08 −0.32 at 1σ and 0.92 +0.08 −0.65 at 2σ, and our results show that the Dyer-Roeder equation is in good consistency with the DD relation at 1σ.

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“…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%

Improved constraints on violations of the Einstein equivalence principle in the electromagnetic sector with complementary cosmic probes

Holanda

Pereira

Busti

et al. 2017

Class. Quantum Grav.

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Recent results have shown that a field non-minimally coupled to the electromagnetic Lagrangian can induce a violation of the Einstein equivalence principle. This kind of coupling is present in a very wide class of gravitation theories. In a cosmological context, this would break the validity of the cosmic distance duality relation as well as cause a time variation of the fine structure constant. Here, we improve constraints on this scenario by using four different observables: the luminosity distance of type Ia supernovae, the angular diameter distance of galaxy clusters, the gas mass fraction of galaxy clusters and the temperature of the cosmic microwave background at different redshifts. We consider four standard parametrizations adopted in the literature and show that, due to a high complementarity of the data, the errors are shrunk between 20% and 40% depending on the parametrization. We also show that our constraints are weakly affected by the geometry considered to describe the galaxy clusters. In short, no violation of the Einstein equivalence principle is detected up to redshifts ∼ 3.

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COSMOLOGICAL-MODEL-INDEPENDENT TESTS FOR THE DISTANCE–DUALITY RELATION FROM GALAXY CLUSTERS AND TYPE Ia SUPERNOVA

Cited by 101 publications

References 21 publications

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

Constraining smoothness parameter and the DD relation of Dyer-Roeder equation with supernovae

Improved constraints on violations of the Einstein equivalence principle in the electromagnetic sector with complementary cosmic probes

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