https://doi.org/10.1140/epjc/s10052-015-3394-9
Regular Article - Theoretical Physics
On exponential cosmological type solutions in the model with Gauss–Bonnet term and variation of gravitational constant
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, 6 Miklukho-Maklaya ul., Moscow, 117198, Russia
* e-mail: ivashchuk@mail.ru
Received:
4
March
2015
Accepted:
3
April
2015
Published online:
30
April
2015
A 
-dimensional gravitational model with Gauss–Bonnet term is considered. When an ansatz with diagonal cosmological type metrics is adopted, we find solutions with an exponential dependence of the scale factors (with respect to a “synchronous-like” variable) which describe an exponential expansion of “our” 3-dimensional factor space and obey the observational constraints on the temporal variation of effective gravitational constant 
. Among them there are two exact solutions in dimensions 
with constant and also an infinite series of solutions in dimensions 
with the variation of obeying the observational data.
© The Author(s), 2015
