ON THE E epsilon COSMOLOGICAL PARAMETER

In the paper On asymptotic solutions of Friedmann equations (Mijajlovic et al. 2012), the theory of regularly varying functions in the sense of Karamata is applied in an asymptotic analysis of solutions of Friedmann equations. As is well known, solutions of these equations are used to represent cosmological parameters. Therefore, according to the theory of regularly varying functions all cosmological parameters depend on a function epsilon(t) such that lim(t ->infinity) epsilon(t) = 0 and which appears in their integral representation. In this paper we derive a differential equation for the parameter epsilon(t), discuss its solutions and give some physical interpretations.