A new $f(Q)$ cosmological model with $H(z)$ quadratic expansion

Abstract

We present a new $f(Q)$ cosmological model capable of reproducing late-time acceleration, i.e. $f\left(Q\right)={\lambda }_0{\left(\lambda +Q\right)}^n$ by supporting certain parametrization of the Hubble parameter. By using observational data from Hubble, Pantheon, and Baryonic Acoustic Oscillations (BAO) dataset, we investigate the constraints on the proposed quadratic Hubble parameter $H(z)$. This proposal caused the Universe to transition from its decelerated phase to its accelerated phase. Further, the current constrained value of the deceleration parameter from the combined Hubble+Pantheon+BAO dataset is $q_0=-0.285\pm 0.021$, which indicates that the Universe is accelerating. We also analyze the evolution of energy density, pressure, and EoS parameters to infer the Universe's accelerating behavior. Finally, we use a stability analysis with linear perturbations to assure the model's stability.

Physics of the Dark Universe published version

References in corpus (19)

• Disappearing cosmological constant in f(R) gravity
• Einstein's Other Gravity and the Acceleration of the Universe
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• First evidence that non-metricity f(Q) gravity could challenge $\Lambda$CDM
• From inflation to dark energy in the non-minimal modified gravity
• Anisotropic nature of space-time in $f(Q)$ gravity
• Cosmic acceleration and energy conditions in $\Lambda$CDM symmetric teleparallel $f(Q)$ gravity
• Late-time acceleration in $f\left(Q\right)$ gravity: Analysis and constraints in an anisotropic background
• A new f(R) Gravity Model and properties of Gravitational Waves in it
• Quasinormal Modes of Black Holes with Non-Linear-Electrodynamic sources in Rastall Gravity
• Accelerating Universe scenario in anisotropic $f\left(Q\right)$ cosmology
• Model independent constraints on the cosmological expansion rate
• Matter Bounce Scenario in Extended Symmetric Teleparallel Gravity
• Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity
• Cosmology with a new f(R) gravity model in Palatini formalism
• Constraining a causal dissipative cosmological model
• The Standard Model Coupled to Quantum Gravitodynamics

Cited by in corpus (8)

• A comprehensive parametrization approach for the Hubble parameter in scalar field dark energy models
• Cosmological dynamics and observational constraints on a viable $f(Q)$ non-metric gravity model
• Analysis of the cosmological evolution parameters, energy conditions, and linear matter perturbations of an exponential-type model in $f(Q)$ gravity
• Late-time dynamics of dark energy EoS in symmetric teleparallel gravity
• Cosmological implications of non-minimally coupled f(Q) gravity
• Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions
• Probing Time-Varying Dark Energy with DESI: The Crucial Role of Precision Matter Density (Ω_{m0}) Measurements
• Cosmological Constraints on the DGP Model in light of DESI DR2 2025 Data