10-14 October 2016
Milan Hotel
Europe/Moscow timezone

On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model

11 Oct 2016, 16:45
15m
Rossini (Milan Hotel)

Rossini

Milan Hotel

Shipilovskaya Street, 28A, Moscow, Russia, 115563
Plenary/section talk Nuclear physics and particle physics Nuclear physics and particle physics - parallel III

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)

Presentation Materials

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