Charged Anisotropic Finch-Skea-Bardeen Spheres

TL;DR

This paper develops a new charged anisotropic compact star model using the Karmarkar condition and Bardeen spacetime, analyzing its physical viability and stability through detailed profiles and parameters.

Contribution

It introduces a novel charged anisotropic star model incorporating Bardeen spacetime and Karmarkar condition, with comprehensive stability and physical viability analysis.

Findings

Solutions are physically viable and stable.

Profiles of pressure, density, and electric field are consistent with realistic compact stars.

Model satisfies energy and stability bounds.

Abstract

This manuscript explores the compact geometries by employing Karmarkar condition with the charged anisotropic source of matter distribution. For this purpose, we consider an explicit model by indulging $\mathrm{g}_{rr}$ metric potential obeying the Karmarkar condition. Moreover, we ansatz the time metric co-efficient following the approach by Adler. The crucial aspect of present investigation is the implication of the Bardeen model as an outer spacetime. Implementation of Bardeen approach turns out to be very interesting as this corresponds to the magnetic mono-pole gravitational remnants emerging from some particular non-linear electrodynamics. Detailed analysis supported by their corresponding plots of the profiles of the pressure profiles, energy density, charged density, anisotropy function, electric field attributes, energy bounds, redshift function, compactness parameter, stability and adiabatic index has been provided. It is important to mention here that our obtained solutions are physically viable and are well stable.