https://doi.org/10.1140/epjc/s10052-017-4974-7
Regular Article - Theoretical Physics
Stable exponential cosmological solutions with zero variation of G and three different Hubble-like parameters 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:
17
May
2017
Accepted:
1
June
2017
Published online:
16
June
2017
We consider a D-dimensional gravitational model with a Gauss–Bonnet term and the cosmological term . We restrict the metrics to diagonal cosmological ones and find for certain a class of solutions with exponential time dependence of three scale factors, governed by three non-coinciding Hubble-like parameters 
, 
and 
, corresponding to factor spaces of dimensions 
, 
and 
, respectively, with 
and 
. Any of these solutions describes an exponential expansion of 3d 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
