https://doi.org/10.1140/epjc/s10052-017-4669-0
Regular Article - Theoretical Physics
Stable exponential cosmological solutions with zero variation of G in the Einstein–Gauss–Bonnet model with a 
-term
1
Institute of Gravitation and Cosmology, RUDN University, 6 Miklukho-Maklaya ul, Moscow, 117198, Russia
2
Center for Gravitation and Fundamental Metrology, VNIIMS, 46 Ozyornaya ul, Moscow, 119361, Russia
* e-mail: ivashchuk@mail.ru
Received:
27
December
2016
Accepted:
30
January
2017
Published online:
10
February
2017
A D-dimensional gravitational model with a Gauss–Bonnet term and the cosmological term is considered. By assuming diagonal cosmological metrics, we find, for a certain fine-tuned , a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters 
and 
, corresponding to factor spaces of dimensions 
and 
, respectively, with 
and 
. Any of these solutions describes an exponential expansion of three-dimensional subspace with Hubble parameter H and zero variation of the effective gravitational constant G. We prove the stability of these solutions in a class of cosmological solutions with diagonal metrics.
© The Author(s), 2017
