Stable stellar configurations with polynomial complexity factor

Abstract

In this article, we present two new families of anisotropic solutions for static spherically symmetric stellar systems by taking into account the implications of complexity factor proposed by Herrera (Phys. Rev. D 97:044010, 2018) in the framework of gravitational decoupling. We start by taking minimal geometric deformation approach as a useful solution generating tool for the new physically viable models of anisotropic matter distributions, and utilize the Durgapal IV and Durgapal V perfect fluid stellar models as seed solutions in the mechanism under consideration. We consider a complexity factor which corresponds to a polynomial of order N, and use it as an axillary condition in order to determine the deformation function. We explore the scenarios, in which polynomial type complexity factors leads to stable stellar configurations. In all cases, both solutions produce similar results with an inappreciable changes in their magnitudes.