No-go theorem for inflation in an extended Ricci-inverse gravity model

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 wh...

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Bibliographic Details
Main Author: Tuan Q. Do
Format: Bài trích
Language:English
Published: Springer 2022
Subjects:
Online Access:https://link.springer.com/article/10.1140/epjc/s10052-021-09974-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/5943
https://doi.org/10.1140/epjc/s10052-021-09974-0
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Summary: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