On nonlocal cosmological equations on half-line

I. Ya. Aref'eva ; I. V. Volovich

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2011), pp. 16-27.

Résumé

A system of nonlocal cosmological equations where the time variable runs over a half-line is considered. These equations are more suitable for description of the Universe than the previously discussed cosmological equations on the whole line since the Friedmann metric contains a singularity at the beginning of time. Definition of the exponential operator includes a new arbitrary function which is absent in the equations on the whole line. It is shown that this function could be choosen in such a way that one of the slow roll parameters in the chaotic inflation scenario can be made arbitrary small. Solutions of the linearized nonlocal equations on the half-line are constructed.

Détail

Keywords: equations with an infinite number of derivatives, cosmological models, heat conduction equation.

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