On stable exponential cosmological solutions in the EGB model with a cosmological constant in dimensions D = 5, 6, 7, 8
- Authors: Chirkov D.M.1, Toporensky A.V.2,3
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Affiliations:
- Bauman Moscow State Technical University
- Sternberg Astronomical Institute
- Kazan Federal University
- Issue: Vol 23, No 4 (2017)
- Pages: 359-366
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176106
- DOI: https://doi.org/10.1134/S0202289317040077
- ID: 176106
Cite item
Abstract
A D-dimensional Einstein–Gauss–Bonnet (EGB) flat cosmological model with a cosmological constant Λ is considered. We focus on solutions with an exponential time dependence of the scale factor. Using the previously developed general stability analysis of such solutions by V.D. Ivashchuk (2016), we apply the criterion from that paper to all known exponential solutions up to the dimension 7 + 1. We show that this criterion, which guarantees the stability of solutions under consideration, is fulfilled for all combinations of the coupling constant of the theory except for some discrete set.
About the authors
D. M. Chirkov
Bauman Moscow State Technical University
Author for correspondence.
Email: chirkovdm@live.com
Russian Federation, 2-ya Baumanskaya ul. 5, Moscow, 105005
A. V. Toporensky
Sternberg Astronomical Institute; Kazan Federal University
Email: chirkovdm@live.com
Russian Federation, Universitetsky Prospekt 13, Moscow, 119991; Kremlevskaya 18, Kazan, 420008
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