Abstract

In the present chapter we study the possible solutions of the cosmic dynamic equations satisfied by the scale radius function R(t), known as the Friedmann equations, and the possible values of the curvature constant k and their implications for the future evolution and other physical properties of the expanding universe. We derive explicit solutions for three possible models of the universe—the flat model (k = 0), the closed model (k = 1) and the open model (k = −1). Thereafter we provide a discussion about the choice of the model. Finally we study the expanding universe within the framework of the Newtonian theory of gravitation and compare the results with those obtained using the general theory of relativity.

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