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On Cosmological Solutions with Sigma-Model Source
- Authors: Golubtsova AA1, Ivashchuk VD1
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Affiliations:
- Peoples Friendship University of Russia
- Issue: No 3 (2012)
- Pages: 115-128
- Section: Articles
- URL: https://journals.rudn.ru/miph/article/view/8457
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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.
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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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