Bardeen Stellar Structures with Karmarkar Condition

TL;DR

This paper introduces a new family of charged, anisotropic stellar solutions within Bardeen black hole geometry using the Karmarkar condition, analyzing their physical viability and the influence of a model parameter.

Contribution

It presents novel solutions for compact stars based on the Karmarkar condition in Bardeen geometry, considering electric charge and anisotropy, with detailed analysis of parameter effects.

Findings

Solutions satisfy physical conditions for certain parameter ranges

Model accurately describes specific observed compact stars

Parameter n significantly influences solution viability

Abstract

Current study is focussed to discuss the existence of a new family of compact star solutions by adopting the Karmarkar condition in the background of Bardeen black hole geometry. For this purpose, we consider static spherically symmetric spacetime with anisotropic fluid distribution in the presence of electric charge. We consider a specific model of $g_{rr}$ metric function, to describe a new family of solutions which satisfies the Karmarkar condition. Further, we investigate the interior solutions for two different models of compact stars with observational mass and radii, i.e., $(M=1.77M_{\odot}, \;R_{b}=9.56km)$ and $(M=1.97M_{\odot}, \;R_{b}=10.3km)$. It is found that these solutions fulfill all the necessary conditions for a charged star. Through graphical discussion, it is noticed that our calculated solutions are physically arguable with a best degree of accuracy for $n\in[1.8,7)$, where parameter $n$ is involved in the model under discussion. However, it is perceived that the presented model violates all the physical conditions for $n\in\{2,4,6\}$. Finally, it is concluded that the parameter $n$ has a strong impact on the obtained solutions in the context of Bardeen stellar structures.