Exact Inflation in Einstein-Gauss-Bonnet Gravity
Abstract
We study cosmological inflation in the Einstein gravity model, where additionally the Gauss-Bonnet term non-minimally coupled to a scalar field is included. We prove that inflationary solutions of exponential and power-law types are allowable and we found few examples of them. We also proposed the method of the exact inflationary solutions construction for a single scalar field with given scale factor and Gauss-Bonnet coupling term in the spatially flat Friedmann-Robertson-Walker Universe on the basis of connection with standard inflation and using special anzatses. With one special anzats we presented the system of equations in the form which allowed generation of exact solutions (at least in quadratures) of wide class by setting the scale factor.
Cite
@article{arxiv.1704.03634,
title = {Exact Inflation in Einstein-Gauss-Bonnet Gravity},
author = {Igor V. Fomin and Sergey V. Chervon},
journal= {arXiv preprint arXiv:1704.03634},
year = {2017}
}
Comments
9 pages; Extended talk given at the Ulyanovsk International School-Seminar "Problems of theoretical and observation cosmology - UISS 2016", September 19-30, 2016, Ulyanovsk, Russia; submitted to Gravitation and Cosmology