Distance duality relation from x-ray and Sunyaev-Zel'dovich observationsof clusters

Abstract

X-ray and Sunyaev-Zel'dovich data of clusters of galaxies enableto construct a test of the distance duality relation between the angular andluminosity distances. We argue that such a test on large cluster samples maybe of importance, as a consistency check, while trying to distinguish betweenvarious models accounting for the acceleration of the universe. The analysisof a data set of 18 clusters shows no significant violation of this relationfor a $\ensuremath{\Lambda}$-ColdDark Matter (CDM) model. The origin and amplitude of systematic effects andthe possibility to increase the precision of this method are discussed.