Stability analysis of (an)isotropic inflation in Ricci-inverse gravity

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, s...

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Bibliographic Details
Main Author: Tuan Q. Do
Format: Article
Language:English
Published: Conell University 2020
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Online Access:https://arxiv.org/abs/2009.06306
https://dlib.phenikaa-uni.edu.vn/handle/PNK/591
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Summary: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 indicates that the Ricci-inverse gravity might not be compatible with the inflationary phase of the universe.