https://doi.org/10.1140/epjc/s10052-022-10412-y
Regular Article - Theoretical Physics
Cosmological dynamical systems in modified gravity
1
Department of Mathematics, University College London, Gower Street, WC1E 6BT, London, UK
2
Department of Physics, Faculty of Science and Technology, University of the Basque Country, P.O. Box 644, 48080, Bilbao, Spain
Received:
17
March
2022
Accepted:
6
May
2022
Published online:
1
June
2022
The field equations of modified gravity theories, when considering a homogeneous and isotropic cosmological model, always become autonomous differential equations. This relies on the fact that in such models all variables only depend on cosmological time, or another suitably chosen time parameter. Consequently, the field equations can always be cast into the form of a dynamical system, a successful approach to study such models. We propose a perspective that is applicable to many different modified gravity models and relies on the standard cosmological density parameters only, making our choice of variables model independent. The drawback of our approach is a more complicated constraint equation. We demonstrate our procedure studying various modified gravity models and show how much generic information can be extracted before a specific model is considered.
© The Author(s) 2022
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