Evaluation of cosmological models in f(R,T) gravity in different dark energy scenario

Abstract In the present paper, we search the existence of dark energy scalar field models within in f ( R , T ) gravity theory established by Harko et al. (Phys. Rev. D 84, 024020, 2011) in a flat FRW universe. The correspondence between scalar field models has been examined by employing the new generalized dynamical cosmological term Λ ( t ) . In this regard, the best fit observational values of parameters from three distinct sets of data are applied. To decide the solution to field equations, a scale factor a = sinh ( β t ) 1 / n has been considered, where β & n are constants. Here, we employ the recent ensues ( H 0 = 69 . 2 and q 0 = − 0 . 52 ) from (OHD+JLA) observation (Yu et al. (2018)). Through the numerical estimation and graphical assessing of various cosmological parameters, it has been experienced that findings are comparable with kinematics and physical properties of the universe and compatible with recent cosmological ensues. The dynamics and potentials of scalar fields are clarified in the FRW scenario in the present model. Potentials reconstruction is highly reasonable and shows a periodic establishment and in agreement with the latest observations.