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.

arXiv comment15 pages, 10 figures

References in corpus (87)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2015 results. XIII. Cosmological parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
• The Complete Light-curve Sample of Spectroscopically Confirmed Type Ia Supernovae from Pan-STARRS1 and Cosmological Constraints from The Combined Pantheon Sample
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results
• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Statefinder -- a new geometrical diagnostic of dark energy
• The Pantheon+ Analysis: Cosmological Constraints
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Can the dark energy equation-of-state parameter w be less than -1?
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Coincident General Relativity
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Braneworld models of dark energy
• The trouble with $H_0$
• Two new diagnostics of dark energy
• Cosmology in $f(Q)$ geometry
• New physics in light of the $H_0$ tension: an alternative view
• A Measurement of the Damping Tail of the Cosmic Microwave Background Power Spectrum with the South Pole Telescope
• On Born-Infeld Gravity in Weitzenbock spacetime
• $f(Q,T)$ gravity
• Observational constraints of $f(Q)$ gravity
• Extended Gravity Cosmography
• Coupling matter in modified $Q$-gravity
• Large Scale Structure as a Probe of Gravitational Slip
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Statefinder diagnostic for holographic dark energy model
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• A measurement of secondary cosmic microwave background anisotropies with two years of South Pole Telescope observations
• Teleparallel Palatini theories
• From cosmic deceleration to acceleration: new constraints from SN Ia and BAO/CMB
• Testing $F(Q)$ gravity with redshift space distortions
• Signatures of $f(Q)$-gravity in cosmology
• Bouncing Cosmology in f(Q) Symmetric Teleparallel Gravity
• Quantum Tests of the Einstein Equivalence Principle with the STE-QUEST Space Mission
• Planck 2018 results. XII. Galactic astrophysics using polarized dust emission
• Cosmographic bounds on the cosmological deceleration-acceleration transition redshift in $f(\mathcal{R})$ gravity
• On the covariance of teleparallel gravity theories
• Nonmetricity formulation of general relativity and its scalar-tensor extension
• Black holes in $f(\mathbb{Q})$ Gravity
• Symmetric teleparallel general relativity
• The Atacama Cosmology Telescope: A Measurement of the Cosmic Microwave Background Power Spectrum at 148 and 218 GHz from the 2008 Southern Survey
• Observational constraints on cosmological solutions of $f(Q)$ theories
• Can $f(Q)$ gravity challenge $\Lambda$CDM?
• The Atacama Cosmology Telescope: A Measurement of the 600< ell <8000 Cosmic Microwave Background Power Spectrum at 148 GHz
• Cosmology in $f(Q)$ gravity: A unified dynamical system analysis at background and perturbation levels
• New models and Big Bang Nucleosynthesis constraints in $f(Q)$ gravity
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Dark energy and dust matter phases from an exact $f(R)$-cosmology model
• Hamiltonian formulation of general relativity in the teleparallel geometry
• Analyzing the $H_0$ tension in $F(R)$ gravity models
• Observational constraints on two cosmological models of $f(Q)$ theory
• Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity
• Dark energy in light of the early JWST observations: case for a negative cosmological constant?
• A designer approach to $f(Q)$ gravity and cosmological implications
• FLRW solutions in $f(Q)$ theory: the effect of using different connections
• Is there evidence for dark energy evolution?
• What are $Om{h}^2(z_1,z_2)$ and $Om(z_1,z_2)$ diagnostics telling us in light of $H(z)$ data?
• Can Conformally Coupled Modified Gravity Solve The Hubble Tension?
• Probing the cosmographic parameters to distinguish between dark energy and modified gravity models
• The state of the dark energy equation of state circa 2023
• Family of scalar-nonmetricity theories of gravity
• Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background
• Anisotropic Strange Star Model Beyond Standard Maximum Mass Limit by Gravitational Decoupling in $f(Q)$ Gravity
• The evidence of cosmic acceleration and observational constraints
• Reconstructing isotropic and anisotropic $f(\mathcal{Q})$ cosmologies
• Phantom cosmological model with observational constraints in $f(Q)$ gravity
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• ADM formulation and Hamiltonian analysis of $f(Q)$ gravity
• Homogeneous and isotropic cosmology in general teleparallel gravity
• What is parameterized $Om(z)$ diagnostics telling us in light of recent observations?
• Phase-space analysis of a novel cosmological model in $f(Q)$ theory
• Black hole solutions in scalar-tensor symmetric teleparallel gravity
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Quintessence Universe and cosmic acceleration in $f(Q,T)$ gravity
• Impact of $H_0$ priors on $f(T)$ late time cosmology
• Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe
• Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints
• How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?
• Linear Cosmological perturbations in $f(Q)$ Gravity

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• 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