Abstract
Schmutzer's cosmological model on the basis of his projective unified field theory leads to a system of differential equations equivalent to a set of highly complicated Abel differential equations [1, 2]. This paper is concerned with the properties of this coupled system of differential equations. The main results of this paper are as follows, (i) We have found the explicit general solution of the cosmological equations for the caseγ=±5/2,ɛ= ±1. (ii) The procedure of solving the general caseγ arbitraryɛ=0 is easily within this formalism, (iii) After having found the solution withγ arbitrary,ɛ=±1, one gets the corresponding solutionγ= -γ, ɛ=±1. (iv) In general the coupled system of differential equations describing Schmutzer's cosmological model is equivalent to a single generalized Emden differential equation and it is identical to Emden's differential equation for special values of the parameterγ.
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