Modeling transit dark energy in f(R,Lm)-gravity

Abstract

This research paper deals with a transit dark energy cosmological model in [Formula: see text]-gravity with observational constraints. For this, we consider a flat Friedman–Lamatre–Robertson–Walker (FLRW) space-time and have taken a cosmological constant-like parameter [Formula: see text] in our field equations. The model has two energy parameters [Formula: see text], which govern the mechanism of the universe, in particular its present accelerated phase. To make the model cope with the present observational scenario, we consider three types of observational data set: [Formula: see text] Hubble parameter data set, SNe Ia [Formula: see text] data sets of distance modulus and apparent magnitude, and [Formula: see text] datasets of SNe Ia bined compilation in the redshift [Formula: see text]. We have approximated the present values of the energy parameters by applying [Formula: see text] and [Formula: see text]-test in the observational and theoretical values of Hubble, distance modulus and apparent magnitude parameters. Also, we have measured the approximate present values of cosmographic coefficients [Formula: see text]. It is found that our approximated value-based model fits best with the observational module. We have found that as [Formula: see text] (or [Formula: see text]) then [Formula: see text]. The cosmic age of the present universe is also approximated and comes up to the expectation. Our model shows a transit phase of the present accelerating universe with a deceleration in the past and has a transition point.