On the Influence of Angular Momentum and Dynamical Friction on Structure Formation: III. The Effect of Dark Energy

Abstract

We study the effect of modifying the equation of state parameter (\(w\)) of dark energy on the results of the previous study [1] (hereafter Paper II), in which dark energy was assumed to be a cosmological constant. As a first step, solving the equation of motion, we found a relation between mass, \(M\), and the turn-around radius, \({{R}_{0}}\). Then, we obtained a relationship between the velocity, \({v}\), and radius, \(R\). The relation was fitted to data of the groups used in Paper II to obtain the Hubble parameter, and the mass, \(M\) of the groups. We observe a significant reduction of the mass, \(M\), comparing Paper II results (for which \(w = - 1\)) and the case \(w = - 1{\text{/}}3\), while the Hubble constant increases going from \(w = - 1\) to \(w = - 1{\text{/}}3\).