TESTING THE DISTANCE–DUALITY RELATION WITH GALAXY CLUSTERS AND TYPE Ia SUPERNOVAE

Holanda, R. F. L.; Lima, J. A. S.; Ribeiro, Marcelo B.

doi:10.1088/2041-8205/722/2/l233

Cited by 142 publications

(185 citation statements)

References 27 publications

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“…At this point, it is interesting to compare our results with those obtained by following a complementary approach (Holanda et al 2010). The η(z) function there was also parametrized as in the present work.…”

Section: Discussionmentioning

confidence: 76%

Cosmic distance duality relation and the shape of galaxy clusters

Holanda

Lima

Ribeiro

2011

A&A

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Context. Observations in the cosmological domain are heavily dependent on the validity of the cosmic distance-duality (DD) relation, η = D L (z)(1 + z) 2 /D A (z) = 1, an exact result required by the Etherington reciprocity theorem where D L (z) and D A (z) are, respectively, the luminosity and angular diameter distances. In the limit of very small redshifts D A (z) = D L (z) and this ratio is trivially satisfied. Measurements of Sunyaev-Zeldovich effect (SZE) and X-rays combined with the DD relation have been used to determine D A (z) from galaxy clusters. This combination offers the possibility of testing the validity of the DD relation, as well as determining which physical processes occur in galaxy clusters via their shapes. Aims. We use WMAP (7 years) results by fixing the conventional ΛCDM model to verify the consistence between the validity of DD relation and different assumptions about galaxy cluster geometries usually adopted in the literature. Methods. We assume 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 consider the angular diameter distances from galaxy clusters recently studied by two different groups by assuming elliptical (isothermal) and spherical (non-isothermal) β models. 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. It was found that the elliptical β model is in good agreement with the data, showing no violation of the DD relation (PDF peaked close to η 0 = 0 at 1σ), while the spherical (non-isothermal) one is only marginally compatible at 3σ. Conclusions. The present results derived by combining the SZE and X-ray surface brightness data from galaxy clusters with the latest WMAP results (7-years) favors the elliptical geometry for galaxy clusters. It is remarkable that a local property like the geometry of galaxy clusters might be constrained by a global argument provided by the cosmic DD relation.

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Section: Discussionmentioning

confidence: 76%

Cosmic distance duality relation and the shape of galaxy clusters

Holanda

Lima

Ribeiro

2011

A&A

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“…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%

“…This method is popular because it is cosmological model-independent. Holanda et al [14] artificially assumed that η(z) takes two forms, i.e., η(z) = 1 + η 0 z or η(z) = 1 + η 0 z/(1 + z), and got η 0 = −0.28 +0.44 −0.44 (2σ CL) for the D A samples of elliptical model [20]. Therefore, their results just satisfy the DD relation at 2σ CL for elliptical model.…”

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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“…(1) is in principle testable by means of astronomical observations (Uzan et al 2004;Basset & Kunz 2004;Holanda et al 2010;Li et al 2011;Nair et al 2011). If one is able to find cosmological sources whose intrinsic luminosities (standard candles) as well as their intrinsic sizes (standard rulers) are known, one can determine both D L and D A and, after measuring the redshifts, test the cosmic version of Etherington's result as given by the equation above.…”

Section: Introductionmentioning

confidence: 99%

“…Secondly, we propose a consistent cosmological-model-independent test for the DD relation by using subsamples of SNe Ia carefully chosen from Constitution data (Hicken et al 2009) and the angular diameter distances from galaxy clusters. These topics were partially discussed by us (Holanda et al 2010(Holanda et al , 2011 without considering the second possibility (isothermal spherical β model) that has also been analyzed by De Filippis et al (2005). Both approaches were separately investigated, however, by avoiding all details of the Sunyaev-Zel'dovich effect and X-ray cluster physics.…”

Section: Introductionmentioning

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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TESTING THE DISTANCE–DUALITY RELATION WITH GALAXY CLUSTERS AND TYPE Ia SUPERNOVAE

Cited by 142 publications

References 27 publications

Cosmic distance duality relation and the shape of galaxy clusters

Cosmic distance duality relation and the shape of galaxy clusters

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

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

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