No-go theorem for inflation in Ricci-inverse gravity
Abstract
We study a recent proposed Ricci-inverse gravity, which is a very novel type of fourth-order gravity. In particular, we are able to figure out both isotropically and anisotropically inflating universes to this model. More interestingly, these solutions are free from a singularity problem. However, stability analysis based on the dynamical system method shows that both isotropic and anisotropic inflation of this model turn out to be unstable against field perturbations. This result implies a no-go theorem for both isotropic and anisotropic inflation in the Ricci-inverse gravity.
Keywords
Cite
@article{arxiv.2009.06306,
title = {No-go theorem for inflation in Ricci-inverse gravity},
author = {Tuan Q. Do},
journal= {arXiv preprint arXiv:2009.06306},
year = {2021}
}
Comments
15 pages, 2 figures. This is a minor revision, in which the title and abstract are modified in order to express more clearly the main result of this paper. In addition, discussions on some important results investigated by other people are added. Some relevant references are also added. All calculations and conclusions are not changed. Accepted for publication in EPJC. Comments are welcome