Bardeen stellar structures with Karmarkar condition

This 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(circle dot), R-b = 9.56 km) and (M = 1.97M(circle dot), R-b = 10.3 km). 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 the best degree of accuracy for n is an element of [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 is an element of {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. (C) 2020 Elsevier B.V. All rights reserved.