The non-minimal coupling constant and the primordial de Sitter state
Abstract
Dynamical systems methods are used to investigate dynamics of a flat Friedmann-Robertson-Walker cosmological model with the non-minimally coupled scalar field and a potential function. Performed analysis distinguishes the value of non-minimal coupling constant parameter , which is the conformal coupling in five dimensional theory of gravity. It is shown that for a monomial potential functions at infinite values of the scalar field there exist generic de Sitter and Einstein-de Sitter states. The de Sitter state is unstable with respect to expansion of the Universe for potential functions which do not change faster than linearly. This leads to a generic cosmological evolution without the initial singularity.
Keywords
Cite
@article{arxiv.2008.00943,
title = {The non-minimal coupling constant and the primordial de Sitter state},
author = {Orest Hrycyna},
journal= {arXiv preprint arXiv:2008.00943},
year = {2020}
}
Comments
22 pages; 6 multiple figures; (v2) published version