Phantom cosmological model with observational constraints in $f(Q)$ gravity

Abstract

In this paper, the cosmological model of the Universe has been presented in $f(Q)$ gravity and the parameters are constrained from the cosmological data sets. At the beginning, we have employed a well motivated form of $f(Q)=\alpha +\beta Q^n$, where $\alpha$, $\beta$ and $n$ are model parameters. We have obtained the Hubble parameter in redshift with some algebraic manipulation from the considered form of $f(Q)$. Then we parameterize with the recent $Hubble$ data and $Pantheon+SHOES$ data using $\text{MCMC}$ analysis. We validate our obtained model parameter values with $\text{BAO}$ data set. A parametrization of the cosmographic parameters shows the early deceleration and late time acceleration with the transition at $z_t\approx 0.75$. The $Om(z)$ diagnostics gives positive slope which shows that the model in the phantom phase. Also the current age of Universe has been obtained as, $t_0=13.85Gyrs$. Based on the present analysis, it indicates that the $f(Q)$ gravity may provide an alternative to dark energy for addressing the current cosmic acceleration.

12 pages, 9 figures

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• Data reconstruction of the dynamical connection function in $f(Q)$ cosmology
• Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity
• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Observational test for $f(Q)$ gravity with weak gravitational lensing
• Neutron Star in Covariant $f(Q)$ gravity
• Equivalence of $f(Q)$ cosmology with quintom-like scenario: the phantom field as effective realization of the non-trivial connection
• Cosmological constraints on dynamical dark energy model in $F(Q)$ gravity
• Gravitational tensor and scalar modes in $f(Q,B)$ non-metric gravity
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• Observational constrained Weyl type $f(Q,T)$ gravity cosmological model and the dynamical system analysis
• Constraining Parameters for the Accelerating Universe in $f(R,{\mathcal{L}}_m)$ Gravity
• Phase space analysis of an exponential model in $f(Q)$ gravity including linear dark-sector interactions