Testing the Distance–Duality Relation with Galaxy Clusters and Type Ia Supernovae

In this Letter, we propose a new and model-independent cosmological test for the distance-duality (DD) relation, Delta *h = DL (z)(1 + z)--2/DA (z) = 1, where DL and DA are, respectively, the luminosity and angular diameter distances. For DL we consider two sub-samples of Type Ia supernovae (SNe Ia)...

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Bibliographic Details
Published in:Astrophysical journal. Letters 2010-10, Vol.722 (2), p.L233-L237
Main Authors: Holanda, R. F. L, Lima, J. A. S, Ribeiro, M. B
Format: Article
Language:English
Subjects:
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BACKGROUND RADIATION
BINARY STARS
BRIGHTNESS
COSMIC RAY SOURCES
COSMIC X-RAY SOURCES
ELECTROMAGNETIC RADIATION
ERUPTIVE VARIABLE STARS
GALAXIES
GALAXY CLUSTERS
IONIZING RADIATIONS
LUMINOSITY
OPTICAL PROPERTIES
PHYSICAL PROPERTIES
RADIATIONS
RED SHIFT
STARS
SUPERNOVAE
VARIABLE STARS
X RADIATION
X-RAY GALAXIES
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Summary:In this Letter, we propose a new and model-independent cosmological test for the distance-duality (DD) relation, Delta *h = DL (z)(1 + z)--2/DA (z) = 1, where DL and DA are, respectively, the luminosity and angular diameter distances. For DL we consider two sub-samples of Type Ia supernovae (SNe Ia) taken from Constitution data whereas DA distances are provided by two samples of galaxy clusters compiled by De Filippis et al. and Bonamente et al. by combining Sunyaev-Zeldovich effect and X-ray surface brightness. The SNe Ia redshifts of each sub-sample were carefully chosen to coincide with the ones of the associated galaxy cluster sample ( Delta *Dz < 0.005), thereby allowing a direct test of the DD relation. Since for very low redshifts, DA (z) [ape] DL (z), we have tested the DD relation by assuming that Delta *h is a function of the redshift parameterized by two different expressions: Delta *h(z) = 1 + Delta *h0 z and Delta *h(z) = 1 + Delta *h0 z/(1 + z), where Delta *h0 is a constant parameter quantifying a possible departure from the strict validity of the reciprocity relation ( Delta *h0 = 0). In the best scenario (linear parameterization), we obtain Delta *h0 = --0.28+0.44 --0.44 (2 Delta *s, statistical + systematic errors) for the De Filippis et al. sample (elliptical geometry), a result only marginally compatible with the DD relation. However, for the Bonamente et al. sample (spherical geometry) the constraint is Delta *h0 = --0.42+0.34 --0.34 (3 Delta *s, statistical + systematic errors), which is clearly incompatible with the duality-distance relation.
ISSN:2041-8205
2041-8213
DOI:10.1088/2041-8205/722/2/L233