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Integrable cosmological models with non-minimally coupled scalar fieldsстатья
Статья опубликована в высокорейтинговом журнале
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 2 июня 2014 г.
- Авторы: Kamenshchik A.Yu, Pozdeeva E.O., Tronconi A., Venturi G., Vernov S.Yu
- Журнал: Classical and Quantum Gravity
- Том: 31
- Номер: 10
- Год издания: 2014
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 105003
- DOI: 10.1088/0264-9381/31/10/105003
- Аннотация: We obtain general solutions for some flat Friedmann universes filled with a scalar field in induced gravity models and models including the Hilbert–Einstein curvature term plus a scalar field conformally coupled to gravity. As is well known, these models are connected to minimally coupled models through the combination of a conformal transformation and a transformation of the scalar field. The explicit forms of the self-interaction potentials for six exactly solvable models are presented here. We obtain the general solution for one of the integrable models, namely, the induced gravity model with a power-law potential for the self-interaction of the scalar field. We argue that although being mathematically in a one-to-one correspondence with the solutions in the minimally coupled models, the solutions in the corresponding non-minimally coupled models are physically different. This is because the cosmological evolutions seen by an internal observer connected with the cosmic time can be quite different. The study of a few induced gravity models with particular potentials gives us an explicit example of such a difference.
- Добавил в систему: Вернов Сергей Юрьевич