Scalar field in standard cosmology: time equation.

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Scientific paper

The separated time equation relative to the generalized Klein-Gordon equation in the Robertson-Walker space-time is integrated in the background of the standard cosmology. The solutions are given in terms of series that are obtained by the usual integration method of differential equations with regular singularity. The normalization of the solutions implied by the requirement of second quantization of the scalar field is performed. The result exhausts the requirement of providing an explicit complete set of normal mode solutions of the scalar field equation in standard cosmology.

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