Speaker
Dr.
Vladimir Ivashchuk
(Center for Gravitation, VNIIMS)
Description
A $(n+1)$-dimensional gravitational model with Gauss-Bonnet term and cosmological constant term is considered. When ansatz with diagonal cosmological metrics is adopted, the solutions with exponential dependence of scale factors: $a_i \sim \exp{ ( v^i t) }$, $i =1, \dots, n $, are considered.
We study the stability of the solutions with non-static volume factor, i.e. if
$K(v) = \sum_{k = 1}^{n} v^k \neq 0$. We prove that under certain restriction $R$ imposed solutions with
$K(v) > 0$ are stable while solutions with $K(v) < 0$ are unstable. Certain examples of stable solutions are presented. We show that the solutions with $v^1 = v^2 =v^3 = H > 0$ and zero variation of the effective gravitational constant are stable if the restriction $R$ is obeyed.
Primary author
Dr.
Vladimir Ivashchuk
(Center for Gravitation, VNIIMS)
