On stable exponential cosmological solutions in the EGB model with a $\Lambda$-term in dimensions D = 5,6,7,8
General Relativity and Quantum Cosmology
2018-07-16 v1
Abstract
A -dimensional Einstein-Gauss-Bonnet (EGB) flat cosmological model with a cosmological term is considered. We focus on solutions with exponential dependence of scale factor on time. Using previously developed general analysis of stability of such solutions done by V.D.Ivashchuk (2016) we apply the criterion from that paper to all known exponential solutions up to dimensionality 7+1. We show that this criterion which guarantees stability of solution under consideration is fulfilled for all combination of coupling constant of the theory except for some discrete set.
Cite
@article{arxiv.1706.08889,
title = {On stable exponential cosmological solutions in the EGB model with a $\Lambda$-term in dimensions D = 5,6,7,8},
author = {D. M. Chirkov and A. V. Toporensky},
journal= {arXiv preprint arXiv:1706.08889},
year = {2018}
}
Comments
11 pages, no figures. arXiv admin note: text overlap with arXiv:1612.08451 by other authors