Cosmology in f (Q) gravity: A unified dynamical systems analysis of the background and perturbations

Khyllep W. Dutta J. Saridakis E.N. Yesmakhanova K.
15 February 2023 American Physical Society

Physical Review D
2023 #107 Issue 4

Motivated by the fact that cosmological models based on f(Q) gravity are very efficient in fitting observational datasets at both background and perturbation levels, we perform a combined dynamical system analysis of both background and perturbation equations in order to examine the validity of this result through an independent method. We examine two studied f(Q) models of the literature, namely, the power-law and the exponential ones. For both cases, we obtain a matter-dominated saddle point characterized by the correct growth rate of matter perturbations, followed by the transition to a stable dark-energy-dominated accelerated universe in which matter perturbations remain constant. Furthermore, analyzing the behavior of fσ8, we find that the models fit observational data successfully, obtaining a behavior similar to that of the Lambda cold dark matter (ΛCDM) scenario, although the exponential model does not possess the latter as a particular limit. Hence, through the independent approach of dynamical systems, we do verify the results of observational confrontation, namely, that f(Q) gravity can be considered as a very promising alternative to the ΛCDM concordance model.

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Department of Mathematics, St. Anthonys College, Meghalaya, Shillong, 793001, India
Mathematics Division, Department of Basic Sciences and Social Sciences, North-Eastern Hill University, Meghalaya, Shillong, 793022, India
Inter University Centre for Astronomy and Astrophysics, Pune, 411007, India
National Observatory of Athens, Lofos Nymfon, Athens, 11852, Greece
Department of Astronomy, CAS Key Laboratory for Researches in Galaxies and Cosmology, University of Science and Technology of China, Anhui, Hefei, 230026, China
Departamento de Matemáticas, Universidad Católica Del Norte, Avenida Angamos 0610, Casilla, Antofagasta, 1280, Chile
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Nur-Sultan, 010009, Kazakhstan
Eurasian National University, Astana, Nur-Sultan, 010008, Kazakhstan

Department of Mathematics
Mathematics Division
Inter University Centre for Astronomy and Astrophysics
National Observatory of Athens
Department of Astronomy
Departamento de Matemáticas
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
Eurasian National University

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