Anisotropic dark energy models in f(R,Lm)-gravity

Abstract

In this investigation, we have observed an anisotropic Bianchi type-I dark energy universe model in [Formula: see text] gravity with observational constraints, where [Formula: see text] is an arbitrary function of Ricci-scalar curvature [Formula: see text] and matter Lagrangian [Formula: see text]. For our investigation, we have considered a specific form of this function as [Formula: see text] with [Formula: see text] as model free parameters and [Formula: see text] is the “cosmological constant”. We have solved the field equations analytically and established a relationship between energy parameters [Formula: see text] and [Formula: see text] and obtained Hubble function [Formula: see text] in terms of redshift [Formula: see text]. We have compared this Hubble function with two observational datasets Union 2.1 plus bined and [Formula: see text] for obtaining the best fit values of model parameters and energy parameters, by applying [Formula: see text]-test. We have analyzed and discussed the results using these best fit values throughout the paper. We have found a accelerating transit phase phantom dark energy model which tends to [Formula: see text]CDM model at late-time universe.