https://doi.org/10.1140/epjc/s10052-021-09974-0
Regular Article - Theoretical Physics
No-go theorem for inflation in an extended Ricci-inverse gravity model
1
Phenikaa Institute for Advanced Study, Phenikaa University, 12116, Hanoi, Vietnam
2
Faculty of Basic Sciences, Phenikaa University, 12116, Hanoi, Vietnam
a
tuan.doquoc@phenikaa-uni.edu.vn
Received:
30
June
2021
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.
© The Author(s) 2022
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