Cosmological consequences of f(T,Σ) modified gravity theory: An observational analysis

This work deals with a modified gravity theory by extending [Formula: see text] gravity with a general coupling of the torsion scalar T and the trace of the matter energy–momentum tensor [Formula: see text]. In the background of the flat FLRW space-time, the dark energy is considered as a perfect fluid having equation of state [Formula: see text] for the present modified gravity theory. Usually, power law form in each argument has been chosen for the arbitrary function [Formula: see text] in the modified gravity theory. Finally, the present model has been compared with recent observational data.