Regular Article - Theoretical Physics
No-go theorem for inflation in an extended Ricci-inverse gravity model
Phenikaa Institute for Advanced Study, Phenikaa University, 12116, Hanoi, Vietnam
2 Faculty of Basic Sciences, Phenikaa University, 12116, Hanoi, Vietnam
Accepted: 23 December 2021
Published online: 8 January 2022
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.
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