Compact Bardeen Stars in f (R, T) Theory with Conformal Motion

A set of exact spherically symmetric solutions for describing the interior of a relativistic star in the context of f (R, T) 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 PSR J1614 - 2230, PSR J1903 + 327, SMC X - 1, Cen X - 3, LMC X - 4 and EXO 1785 - 248 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.

Automated summary

This study presents a set of exact spherically symmetric solutions based on the f (R, T) modified theory of gravity to describe the interior of a relativistic star. The metric potentials are achieved by using a Conformal Killing Vectors (CKV) and Bardeen's model for boundary conditions. Matching conditions are employed to obtain free parameters for the physical analysis. The study investigates several physically valid attributes and finds that the derived compact star solutions are physically acceptable and authentic in the presence of charge with conformal motion.