Phantom Cosmological Model with Observational Constraints in f(Q) Gravity

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, a well motivated form of f(Q) = alpha + beta Q(n) has been employed, where alpha, beta, and n are model parameters. The Hubble parameter is obtained in redshift with some algebraic manipulation from the considered form of f (Q). Then it is parameterized with the recent Hubble data and Pantheon + SHOES data using Markov chain Monte Carlo analysis. The obtained model parameter values are validated with the baryon acoustic oscillation data set. A parametrization of the cosmographic parameters shows the early deceleration and late time acceleration with the transition at z(t) approximate to 0.75. The Om(z) diagnostics gives positive slope which shows that the model is in the phantom phase. Also the current age of the Universe has been obtained as, t(0) = 13.85 Gyrs. 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.