Influence of the non-luminous component on dynamical and structural properties of galaxy clusters

In this paper a family of two-component non-isothermal hydrostatic models are elaborated in order to simulate clusters of galaxies in which a dark background exists. The influence of an invisible component on the dynamical analysis is examined. We show that the mass-to-light ratio MLR is not linearly related to the actual amount of the unseen mass, leading to the conclusion that the MLR is not a reliable indicator of the amount of dark matter in clusters of galaxies. The determination of the mass depends strongly on the relative concentration of both the luminous and the dark component. This is the so-called Limber effect which is quantified on the ground of our two-component hydrostatic models. The asymptotic behaviour of the density profile of both components is investigated. We found that they allow useful information to be obtained on the distribution of the unseen component and on its thermodynamical state. We also show that intra-cluster medium (ICM) can not mimic the dark matter and consequently one has to invoke the dark matter to explain the high MLRs in galaxy clusters.