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Cosmological dynamical systems in modified gravity

Böhmer, Christian G; Jensko, Erik; Lazkoz, Ruth; (2022) Cosmological dynamical systems in modified gravity. The European Physical Journal C , 82 , Article 500. 10.1140/epjc/s10052-022-10412-y. Green open access

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Abstract

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.

Type: Article
Title: Cosmological dynamical systems in modified gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.1140/epjc/s10052-022-10412-y
Publisher version: https://doi.org/10.1140/epjc/s10052-022-10412-y
Language: English
Additional information: © 2022 Springer Nature Switzerland AG. This article is licensed under a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/).
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10149678
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