Programme

I.11 -- Invited, VCTP-47

Date: Thursday, 4 August 2022

Time: 14:00 - 14:40

No-go theorem for inflation in Ricci-inverse gravity

Tuan Q. Do

Phenikaa Institute for Advanced Study, Phenikaa University, Hanoi, Vietnam

Recent, a very novel fourth-order gravity model called the Ricci-inverse gravity has been proposed as a promising approach to the dark energy problem. Motivated by some well-known fourth-order gravity models, e.g., the Starobinsky one, which have been shown to admit inflationary solutions to the early universe, we propose to seek both anisotropic and isotropic inflationary solutions in the Ricci-inverse gravity model. As a result, we are able to figure out analytically the desired ones. However, stability analysis based on the dynamical system method is performed to show that all the obtained inflationary solutions turn out to be unstable unexpectedly. This result therefore forms a no-go theorem for inflation in the Ricci-inverse gravity.

Presenter: Do Quoc Tuan