On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant
General Relativity and Quantum Cosmology
2016-10-04 v3
Abstract
A D-dimensional gravitational model with Gauss-Bonnet term is considered. When ansatz with diagonal cosmological type metrics is adopted, we find solutions with exponential dependence of scale factors (with respect to "synchronous-like" variable) which describe an exponential expansion of "our" 3-dimensional factor-space and obey the observational constraints on the temporal variation of effective gravitational constant G. Among them there are two exact solutions in dimensions D = 22, 28 with constant G and also an infinite series of solutions in dimensions D \ge 2690 with the variation of G obeying the observational data.
Keywords
Cite
@article{arxiv.1503.00860,
title = {On exponential cosmological type solutions in the model with Gauss-Bonnet term and variation of gravitational constant},
author = {V. D. Ivashchuk and A. A. Kobtsev},
journal= {arXiv preprint arXiv:1503.00860},
year = {2016}
}
Comments
21 pages, 12 figures, LaTex; eq. (2.1) is modified, several sentences are added, a typo in eq. (3.13) is eliminated