No-go theorem for inflation in an extended Ricci-inverse gravity model
Abstract
In this paper, we propose an extension of the Ricci-inverse gravity, which has been proposed recently as a very novel type of fourth-order gravity, by introducing a second order term of the so-called anticurvature scalar as a correction. The main purpose of this paper is that we would like to see whether the extended Ricci-inverse gravity model admits the homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker metric as its stable inflationary solution. However, a no-go theorem for inflation in this extended Ricci-inverse gravity is shown to appear through a stability analysis based on the dynamical system method. As a result, this no-go theorem implies that it is impossible to have such stable inflation in this extended Ricci-inverse gravity model.
Keywords
Cite
@article{arxiv.2101.08538,
title = {No-go theorem for inflation in an extended Ricci-inverse gravity model},
author = {Tuan Q. Do},
journal= {arXiv preprint arXiv:2101.08538},
year = {2022}
}
Comments
14 pages, 3 figures. Updated version with additional discussions on the Minkowskian limit. All calculations are not modified. Matches the published version. Comments are welcome