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Dynamical Systems Analysis of f(Q) Gravity

Böhmer, Christian G; Jensko, Erik; Lazkoz, Ruth; (2023) Dynamical Systems Analysis of f(Q) Gravity. Universe , 9 (4) , Article 166. 10.3390/universe9040166. Green open access

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Abstract

Modified gravity theories can be used for the description of homogeneous and isotropic cosmological models through the corresponding field equations. These can be cast into systems of autonomous differential equations because of their sole dependence on a well-chosen time variable, be it the cosmological time, or an alternative. For that reason, a dynamical systems approach offers a reliable route to study those equations. Through a model-independent set of variables, we are able to study all f(Q) modified gravity models. The drawback of the procedure is a more complicated constraint equation. However, it allows the dynamical system to be formulated in fewer dimensions than using other approaches. We focus on a recent model of interest, the power-exponential model, and generalize the fluid content of the model.

Type: Article
Title: Dynamical Systems Analysis of f(Q) Gravity
Open access status: An open access version is available from UCL Discovery
DOI: 10.3390/universe9040166
Publisher version: https://doi.org/10.3390/universe9040166
Language: English
Additional information: Copyright © 2023 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Keywords: modified gravity; non-metricity; dynamical systems
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
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
URI: https://discovery.ucl.ac.uk/id/eprint/10167556
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