2023/01/18 by Amit Samaddar, Samaddar, Amit, S. Surendra Singh +3
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2302.02999
openalex publication_date 2023/01/18 · openalex created_date 2023/02/09 · openalex updated_date 2026/07/28
In this work, in the framework of dynamical system analysis, we focus on the study of the accelerated expansion of the Universe of f(Q) gravity theory where Q be the non-metricity that describes the gravitational interaction. We consider the linear form of f(Q) gravity i.e. f(Q)=-α1Q-α2 where α1 and α2 are constants. We consider an interaction between dark matter (DM) and dark energy (DE) in f(Q) gravity. To reduce the modified Friedmann equations to an autonomous system of first-order ordinary differential equations, we introduce some dimensionless new variables. The nature of the critical points are discussed by finding the eigenvalues of the Jacobian matrix. We get six critical points for interacting DE model. We also analyze the density parameter, equation of state (EoS) parameter and deceleration parameter and draw their plots and we conclude that for some suitable range of the parameters λ and α, the value of the deceleration parameter is q=-1 which shows that the expansion of Universe is accelerating and the value of EoS parameter is ωϕ=-1 which shows that the model is ΛCDM model. Finally, we discussed the classical as well as quantum stability of the model.