Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation

R. F. L. Holanda; L. R. Colaço; S. H. Pereira; R. Silva

doi:10.1088/1475-7516/2019/06/008

paper

Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation

arXiv:1904.01342 · doi:10.1088/1475-7516/2019/06/008

Abstract

In this paper, we propose a new test to the cosmic distance duality relation (CDDR), $D_{L} = D_{A} (1 + z)^{2}$ , where $D_{L}$ and $D_{A}$ are the luminosity and angular diameter distances, respectively. The data used correspond to 61 Type Ia Supernova luminosity distances and $Y_{S Z E} - Y_{X}$ measurements of 61 galaxy clusters obtained by the {\it Planck} mission and the deep XMM-Newton X-ray data, where $Y_{S Z E}$ is the integrated comptonization parameter obtained via Sunyaev-Zel'dovich effect observations and $Y_{X}$ is the X-ray counterpart. More precisely, we use the $Y_{S Z E} D_{A}^{2} / C_{X S Z E} Y_{X}$ scaling-relation and a deformed CDDR, such as $D_{L} / D_{A} (1 + z)^{2} = η (z)$ , to verify if $η (z)$ is compatible with the unity. Two $η (z)$ functions are used, namely, $η (z) = 1 + η_{0} z$ and $η (z) = 1 + η_{0} z / (1 + z)$ . { We obtain that the CDDR validity ( $η_{0} = 0$ ) is verified within $\approx 1.5 σ$ c.l. for both $η (z)$ functions.}.

arXiv comment7 pages, two figures, I table, Version accepted for publication in the JCAP

Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation

Abstract

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