Exact exponential cosmological solutions with two factor spaces of dimension m in EGB model with a-term

A (2m + 1)-dimensional Einstein-Gauss-Bonnet (EGB) model with the cosmological term is considered. We find a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters H > 0 and h, corresponding to two factor spaces of dimension m > 2 and obeying H ± h. We prove that the solutions, obeying h/H-m-1 m-2,-m-2 m-1, are stable (in a class of cosmological solutions with diagonal metrics) for h > -H and they are unstable for h < -H. A subclass of solutions with small enough variation of the effective gravitational constant G is considered. It is shown that all solutions from this subclass are stable. © 2019 World Scientific Publishing Company.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
-
Язык
Английский
Страницы
-
Статус
Опубликовано
Подразделение
-
Номер
-
Том
-
Год
2018
Организации
  • 1 Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya St., Moscow, 119361, Russian Federation
  • 2 Institute of Gravitation and Cosmology, Peoples' Friendship University of Russia, RUDN University, 6 Miklukho-Maklaya St., Moscow, 117198, Russian Federation
  • 3 Institute for Nuclear Research, RAS, Troitsk, Moscow, 108840, Russian Federation
Ключевые слова
accelerated expansion; Gauss-Bonnet; variation of G
Дата создания
04.02.2019
Дата изменения
04.02.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/36472/