Paper Info
Title
Stable Exponential Cosmological Type Solutions with Three Factor Spaces in EGB Model with a Lambda-Term
Abstract
We study a D-dimensional Einstein-Gauss-Bonnet model which includes the Gauss-Bonnet term, the cosmological term A and two non-zero constants: alpha(1) and alpha(2). Under imposing the metric to be diagonal one, we find cosmological type solutions with exponential dependence of three scale factors in a variable u, governed by three non-coinciding Hubble-like parameters: H not equal 0, h(1) and h(2), obeying mH + k(1)h(1) + k(2)h(2) not equal 0, corresponding to factor spaces of dimensions m > 1, k(1) > 1 and k(2) > 1, respectively, and depending upon sign parameter epsilon = +/- 1, where epsilon = 1 corresponds to cosmological case and epsilon = -1-to static one). We deal with two cases: (i) m < k(1) < k(2) and (ii) 1 < k(1) = k(2) = k, k not equal m. We show that in both cases the solutions exist if epsilon alpha = epsilon alpha(2)/alpha(1) > 0 and alpha Lambda > 0 satisfy certain (upper and lower) bounds. The solutions are defined up to solutions of a certain polynomial master equation of order four (or less), which may be solved in radicals. In case (ii), explicit solutions are presented. In both cases we single out stable and non-stable solutions as u -> +/-infinity. The case H = 0 is also considered.
Year
DOI
Venue
2022
10.3390/sym14071296
SYMMETRY-BASEL
Keywords
DocType
Volume
Gauss-Bonnet, dark energy, stability
Journal
14
Issue
ISSN
Citations 
7
2073-8994
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Kubantai K. Ernazarov100.34
Vladimir D. Ivashchuk200.34