Analysis of complexity on the anisotropic charged fluid in modified teleparallel gravity

Abstract

This article is about the impact of complexity on the anisotropic charged fluid in f(T) gravity, where accountability of the torsion scalar T is offered by the gravitational influence. Our focus is on the anisotropic charged fluid. We took into account the static spherical distribution for the interior region. Foremost, we present the basic formalism of f(T) theory, which comprises the electric charge, and then evaluate the field equations along with the hydrostatic equilibrium equation in this framework. The criterion of complexity is taken up from Herrera’s design (Herrera, 2018), where the complexity factor is attained from the division of the Riemann curvature tensor in an orthogonal direction. We set up the relation between the Misner–Sharp mass function and the hydrostatic equilibrium equation comprising the electric charge in f(T) theory. We match the interior region with the Reissner-Nordström geometry in the exterior direction and investigate the role of the Tolman mass in this background. We carry out the analysis of the structure scalars for charged anisotropic fluid within f(T) gravity and study the impact of the density homogeneity and inhomogeneity along with local anisotropy on the complexity factor YTF. The manuscript concluded with the defined concepts that satisfy the constraint of diminishing complexity in f(T) theory, which comprises the electric charge.