Some exact solutions of Friedmann cosmological equation

Abstract

In this paper we present a number of examples of exact solutions for the Friedmann cosmological equation for metric F(R) gravity model. Emphasis was placed on the possibility of obtaining exact time dependences of the main cosmological physical quantities: scale factor, scalar curvature, Hubble rate and function F(R). For this purpose an ansatz was used to reduce the Friedmann equation to an ordinary differential equation for function F=F(H2). This made it possible to obtain a number of exact solutions, both already known and new.