Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data - INSPIRE

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Testing the cosmic distance duality with X-ray gas mass fraction and supernovae data

Sep, 2011

5 pages

Published in:

Mon.Not.Roy.Astron.Soc. 420 (2012) L43-L47

e-Print:

1109.2790 [astro-ph.CO]

DOI:

10.1111/j.1745-3933.2011.01192.x

View in:

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Abstract: (arXiv)

In this paper we discuss a new cosmological model-independent test for the cosmic distance duality relation (CDDR),

\eta = D_{L}(L)(1+z)^{-2}/D_{A}(z)=1

, where

D_{A}(z)

and

D_{L}(z)

are the angular and luminosity distances, respectively. Using the general expression for X-ray gas mass fraction (

f_{gas}

) of galaxy clusters,

f_{gas} \propto D_L{D_A}^{1/2}

, we show that

f_{gas}

observations jointly with type Ia supernovae (SNe Ia) data furnish a validity test for the CDDR. To perform our analysis we use 38

f_{gas}

measurements recently studied by two groups considering different assumptions to describe the clusters (La Roque {\it{et al.}} 2006 and Ettori {\it{et al.}} 2009) and two subsamples of SNe Ia distance luminosity extracted from the Union2 compilation. In our test we consider the

\eta

parameter as a function of the redshift parameterized by two different functional forms. It is found that the La Roque {\it{et al.}} (2006) sample is in perfect agreement with the duality relation (

\eta = 1

) whereas the Ettori {\it{et al.}} (2009) sample presents a significant conflict.

Note:

5 pages, 2 figures, 1 table, Letter to MNRAS (in press)

Cosmology: distance scale
galaxy clusters
supernova observations
cosmological model
gas: mass
galaxy: cluster
supernova
duality
X-ray
validity test

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