Abstract

The main focus of this paper is devoted to exploring the physical aspects of compact stars with the presence of electric charge under an embedded Class I approach in the arena of Bardeen geometry. We derive the embedded Class I solutions by taking spherically symmetric static spacetime with an anisotropic source of matter. We also look at the equation of state (EoS) for strange quark matter (SQM), which inspired the phenomenological MIT-Bag model as a free Fermi gas of quarks. The unknown constants are evaluated through the boundary conditions along with the Bardeen model to portray as an exterior space–time. Bardeen’s model becomes very interesting in an entertaining and unique way with great precision as it could be interpreted as the analytical solutions of some appropriate nonlinear electrodynamics associated with the gravitational field. In this concern, we thoroughly explored the dependence of several physical parameters, such as the metric potentials, energy density, pressure constituents, anisotropy, and electric charge, etc., on the chosen varied values of n. Finally, we discuss the physical viability and stability of the stellar model through various physical tests. It is important to mention here that the obtained stellar configuration is in agreement with the physical viability and stability criteria under the effect of the electric charge and anisotropic fluid source of matter.

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