Procedings of the 2nd International Conference "Mathematical Physics and its Applications"

• Main Authors: I. V. Volovich, I. Ya. Aref'eva
• Format: Article
• Language: English
• Published: Samara State Technical University 2011-03-01
• Series: Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
• Online Access: http://mi.mathnet.ru/eng/vsgtu938

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.