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Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
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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.
Forward citations
Cited by 2 Pith papers
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Unstable de Sitter inflationary solution in sixth-order gravity
For the sixth-order gravity action (2.1), the exact FLRW de Sitter solution is unstable whenever 3γ1+γ2<0, while the second-order limit admits a stable de Sitter attractor.
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On the stability of de Sitter inflationary solution in the Starobinsky-Bel-Robinson gravity
The exact de Sitter solution of Starobinsky-Bel-Robinson gravity is fixed by the quartic Bel-Robinson coupling alone and is an unstable saddle point for the physically allowed positive sign of the R^2 coefficient.
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