Billiard representation for multidimensional multi-scalar cosmological model with exponential potentials

A multidimensional cosmological-type model with n Einstein factor spaces in the theory with l scalar fields and multiple exponential potentials is considered. The dynamics of the model near the singularity is reduced to a billiard on the (N - 1)-dimensional Lobachevsky space HN-1, N = n + l. It is shown that for n > 1 the oscillating behaviour near the singularity is absent and solutions have an asymptotic Kasner-like behavior. For the case of one scale factor (n = 1) billiards with finite volumes (e.g. coinciding with that of the Bianchi-IX model) are described and oscillating behaviour of scalar fields near the singularity is obtained.

Авторы
Dehnen H.1 , Ivashchuk V.D. 2 , Melnikov V.N. 3
Редакторы
-
Сборник материалов конференции
Издательство
-
Номер выпуска
7
Язык
Английский
Страницы
1563-1578
Статус
Опубликовано
Подразделение
-
Ссылка
-
Номер
-
Том
36
Год
2004
Организации
  • 1 Universität Konstanz, Fakultät für Physik, Fach M 568, D-78457, Konstanz, Germany
  • 2 Ctr. Gravitation/Fundamental Metrol., VNIIMS, 3/1 M. Ulyanovoy Str., Moscow 119313, Russian Federation
  • 3 Inst. of Gravitation and Cosmology, PFUR, 6 Miklukho-Maklaya Str., Moscow 117198, Russian Federation
Ключевые слова
Cosmology; Higher-dimensional model; Kasner solution
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3631/