On asymptotic solutions of Friedmann equations

Abstract

Our main aim is to apply the theory of regularly varying functions to the asymptotical analysis at infinity of solutions of Friedmann cosmological equations. A new constant Γ is introduced related to the Friedmann cosmological equations. Determining the values of Γ we obtain the asymptotical behavior of the solutions, i.e. of the expansion scale factor a(t) of a universe. The instance Γ < 1 4 is appropriate for both cases, the spatially flat and open universe, and gives a sufficient and necessary condition for…