Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency

Abstract

In this paper, we present a cosmological model within the framework of symmetric teleparallel gravity, focusing on $f(Q)$ gravity, where $Q$ represents the non-metricity scalar. Utilizing cosmological datasets, we derive an accelerating cosmological model by constraining its free parameters. To achieve this, we determine the parametric form of the Hubble parameter using a well-motivated $f(Q)$ function. Remarkably, all obtained values fall within the range suggested by cosmological observations. By employing the best-fit parameters, we calculate the present geometrical parameters and demonstrate the accelerating behaviour of the Universe. Furthermore, we thoroughly examine the evolutionary behaviours of the Universe, noting that our model converges to the $\Lambda$CDM model at late times. Finally, we investigate the energy conditions and find a violation of the strong energy condition, which could provide a valuable understanding of the nature of dark energy.

15 pages, 10 figures

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Cited by in corpus (8)

• Testing Non-Coincident $f(Q)$-gravity with DESI DR2 BAO and GRBs
• Cosmological Implications of $f(R,\Sigma ,T)$ Gravity: A Unified Approach Using OHD and SN Ia Data
• Stable $f(Q)$ gravity model through non-trivial connection
• Background-dependent and classical correspondences between $f(Q)$ and $f(T)$ gravity
• Probing Dark Energy Properties in $fQ,C)$ Gravity with FLRW Cosmological Models
• Vulnerability of f(Q) gravity theory and a possible resolution
• A Unified Dynamical Systems Framework for Cosmology in $f(Q)$ Gravity: Generic Features Beyond the Coincident Gauge
• Dark Energy Behavior from Static Equation of State in Non-Minimally Coupled Gravity with Scalar Deformation