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Cosmological dynamics in six-order gravity

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arxiv 1007.3365 v1 pith:UI3O5VMS submitted 2010-07-20 gr-qc hep-th

M.Skugoreva , A.Toporensky , P.Tretyakov This is my paper · ORCID
classification gr-qchep-th
keywords gravitysolutionsbeencasecosmologicaldynamicsmodifiedstability
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abstract

We consider cosmological dynamics in generalized modified gravity theory with the $R\Box R$ term added to the action of the form $R+R^N$. Influence of $R \Box R$ term to the known solutions of modified gravity is described. We show that in particular case of $N=3$ these two non-Einstein terms are equally important on power-law solutions. These solutions and their stability have been studied using dynamical system approach. Some results for the case of $N \ne 3$ (including stability of de Sitter solution in the theory under investigation) have been found using other methods.

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  1. Unstable de Sitter inflationary solution in sixth-order gravity

    gr-qc 2026-07 conditional novelty 6.0 of 10

    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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