On nonlocal cosmological equations on half-line


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Abstract

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.

About the authors

Irina Ya Aref'eva

Steklov Mathematical Institute, Russian Academy of Sciences

Email: arefeva@mi.ras.ru
д.ф.-м.н., профессор, ведущий научный сотрудник, отд. теоретической физики; Математический институт им. В. А. Стеклова РАН; Steklov Mathematical Institute, Russian Academy of Sciences

Igor' V Volovich

Steklov Mathematical Institute, Russian Academy of Sciences

Email: volovich@mi.ras.ru
д.ф.-м.н., член-корр. РАН, заведующий отделом, отд. математической физики; Математический институт им. В. А. Стеклова РАН; Steklov Mathematical Institute, Russian Academy of Sciences

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