https://doi.org/10.1140/epjc/s10052-016-4284-5
Regular Article - Theoretical Physics
On stability of exponential cosmological solutions with non-static volume factor in the Einstein–Gauss–Bonnet model
1
Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya ul., Moscow, 119361, Russia
2
Institute of Gravitation and Cosmology, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya ul., Moscow, 117198, Russia
* e-mail: ivashchuk@mail.ru
Received:
6
July
2016
Accepted:
23
July
2016
Published online:
1
August
2016
A 
-dimensional gravitational model with Gauss–Bonnet term and a cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with an exponential dependence of the scale factors, 
, 
, are analyzed for 
. We study the stability of the solutions with non-static volume factor, i.e. if 
. We prove that under a certain restriction R imposed solutions with 
are stable, while solutions with 
are unstable. Certain examples of stable solutions are presented. We show that the solutions with 
and zero variation of the effective gravitational constant are stable if the restriction R is obeyed.
© The Author(s), 2016
