Abstract
The purpose of this study is to investigate the parametrization form of the deceleration parameter in relation to the redshift z. The parameter is represented by the equation q(z)=q0+q1z(1+z)(1+z)2, which offers the desirable quality of allowing the sign to be flipped from a decelerating phase to an accelerating phase. We have investigated the Hubble parameter by evaluating the specified parametric form of q and derived constraints on the related free parameters H0, q0 and q1 with confidence limits of 1σ and 2σ by using the χ2-minimization approach. Furthermore, we have constrained the current value of the deceleration parameter q0=−0.457+0.0022−0.0023 and obtained that the current universe is accelerating. We have examined the characteristics of our model by assuming the two distinct forms of f(G)=αGm+1 and f=α1Gn+β1α2Gn+β2. In addition, we have examined the evolutionary paths of energy density, pressure and EoS parameters in order to deduce the universe’s accelerating behavior. In order to verify the feasibility of our cosmological model, we also investigate the behavior of various energy conditions.
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