On Cosmological Solutions with Sigma-Model Source

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Abstract


A multidimensional model of gravity with a sigma-model action for scalar fields is considered. The gravitational model is defined on the manifold, which contains n Einstein factor spaces. General cosmological-type solutions to the field equations are obtained when n−1 factor-spaces are Ricci-flat. The solutions are defined up to solutions of geodesic equations corresponding to a sigma-model target space. Several examples of sigma-models are considered. A subclass of non-singular solutions is singled-out for the case when all factor-spaces are Ricci-flat.

About the authors

A A Golubtsova

Peoples Friendship University of Russia

Email: siedhe@gmail.com
Институт гравитации и космологииЛаборатория теории Вселенной (LUTh), Обсерватория Парижапл. Жуль Жансен, д.5, Медон, Франция, 92190; Россиийский университет дружбы народов; Peoples Friendship University of Russia

V D Ivashchuk

Peoples Friendship University of Russia

Email: ivashchuk@mail.ru
Институт гравитации и космологииЦентр гравитации и фундаментальной метрологииВНИИМС, ул. Озерная, д. 46, Москва, Россия, 119361; Россиийский университет дружбы народов; Peoples Friendship University of Russia

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Copyright (c) 2012 Голубцова А.А., Иващук В.Д.

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