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arXiv · 1607.01244

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

V. D. Ivashchuk
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Abstract

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 ~ exp( v^i t), i = 1, ..., n, are analysed for n > 3. 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.

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V. D. Ivashchuk. 2016-07-15. On stability of exponential cosmological solutions with non-static volume factor in the Einstein-Gauss-Bonnet model. https://doi.org/10.1140/epjc%2Fs10052-016-4284-5

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