Dynamical systems analysis of $f(Q)$ gravity

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 generalise the fluid content of the model.

arXiv comment12 pages, 3 figures. Accepted for publication in Universe special issue Modified Gravity Approaches to the Tensions of $\Lambda$CDM

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• Exploring the stability of $f(Q)$ cosmology near general relativity limit with different connections
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• Stability of $f(Q,B)$ Gravity via Dynamical System Approach: a Comprehensive Bayesian Statistical Analysis
• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
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