Speakers
Mr.
Kubantai Ernazarov
(RUDN)
Dr.
Vladimir Ivashchuk
(Center for Gravitation, VNIIMS)
Description
A $D$-dimensional gravitational model with a Gauss-Bonnet term and the cosmological term $\Lambda$ is considered.
By assuming diagonal cosmological metrics, we find, for certain fine-tuned $\Lambda$, a class of solutions with exponential time dependence of two scale factors, governed by two Hubble-like parameters $H >0$ and $h < 0$, corresponding to factor spaces of dimensions $m > 3$ and $l > 1$, respectively, with $(m,l) \neq (6,6), (7,4), (9,3)$ and $D = 1 + m + l$. Any of these solutions describes an exponential expansion of 3-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. This result is generalized to the case of 3 factor spaces.
Primary author
Dr.
Vladimir Ivashchuk
(Center for Gravitation, VNIIMS)
Co-authors
Mr.
Kubantai Ernazarov
(RUDN)