Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity [CL]

http://arxiv.org/abs/2303.17283


In this paper, we would like to examine whether a novel Starobinsky-Bel-Robinson gravity model admits exponential inflationary solutions with or without spatial anisotropies. As a result, we are able to derive exact de Sitter as well as Bianchi type I inflationary solutions to this Starobinsky-Bel-Robinson model. However, stability analysis using the dynamical system approach indicates that both of the obtained inflationary solutions turn out to be unstable. Finally, we point out that a stable de Sitter inflationary solution can be obtained by flipping the coefficient’s sign of $R^2$ term in the Starobinsky-Bel-Robinson gravity.

Read this paper on arXiv…

T. Do, D. Nguyen and T. Pham
Fri, 31 Mar 23
24/70

Comments: 25 pages, 2 figures. Comments are welcome