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General Relativity and Quantum Cosmology
Title: Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
(Submitted on 30 Mar 2023 (v1), last revised 30 Nov 2023 (this version, v3))
Abstract: In this paper, we would like to examine whether a novel Starobinsky-Bel-Robinson gravity model admits stable exponential inflationary solutions with or without spatial anisotropies. As a result, we are able to derive an exact de Sitter inflationary to this Starobinsky-Bel-Robinson model. Furthermore, we observe that an exact Bianchi type I inflationary solution does not exist in the Starobinsky-Bel-Robinson model. However, we find that a modified Starobinsky-Bel-Robinson model, in which the sign of coefficient of $R^2$ term is flipped from positive to negative, can admit the corresponding Bianchi type I inflationary solution. Unfortunately, stability analysis using the dynamical system approach indicates that both of these inflationary solutions turn out to be unstable. Interestingly, we show that a stable de Sitter inflationary solution can be obtained in the modified Starobinsky-Bel-Robinson gravity.
Submission history
From: Tuan Do [view email][v1] Thu, 30 Mar 2023 10:45:03 GMT (58kb,D)
[v2] Thu, 6 Apr 2023 13:32:03 GMT (59kb,D)
[v3] Thu, 30 Nov 2023 03:48:31 GMT (117kb,D)
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