Compact Bardeen Stars in f(R,T)$f(\mathcal {R}, T)$ Theory with Conformal Motion

Abstract

A set of exact spherically symmetric solutions for describing the interior of a relativistic star in the context of modified theory of gravity is presented. The existence of a Conformal Killing Vectors (CKV) and Bardeen's model to find the boundary conditions as an exterior space‐time geometry to achieve the metric potentials for current study is used. Moreover, matching conditions have been employed to obtain a set of free parameters for the physical analysis. Furthermore, some physically valid attributes like the behavior of energy density, pressure, equilibrium conditions, the adiabatic index, mass‐radius relation, surface red‐shifts, and compactness factor for the realistic stars such as , , , , and are investigated. It is observed that for the current investigation, the derived compact star solutions are physically acceptable and authentic in the presence of charge with conformal motion.

Detailed analysis of the relativistic configuration of Bardeen anisotropic spheres in modified f(G) gravity

“…Ahmad et al [41] explored the charged stellar structures under embedded spacetime using the Karmarkar condition and spherically symmetric spacetime with the anisotropic source of fluid. Rashid et al [42] discussed the spherically symmetric solutions for describing the interior of a relativistic star in the context of f (R, T) modified theory of gravity by taking conformal killing vectors and Bardeen model. Malik along with his collaborators [43] investigated anisotropic stellar spheres in f (R, f) gravity utilizing Tolman-Kuchowicz spacetime and derived the equations of motion for spherically symmetric spacetime.…”