Gravitational cracking and complexity in the framework of gravitational decoupling

TL;DR

This paper investigates the stability and cracking behavior of self-gravitating anisotropic spheres using gravitational decoupling, analyzing the impact of anisotropy, complexity, and decoupling parameters on their structural stability.

Contribution

It introduces an analysis of gravitational cracking within the framework of gravitational decoupling, incorporating the complexity factor to assess stability of anisotropic models.

Findings

Anisotropy influences cracking behavior.

Complexity factor affects stability conditions.

Decoupling parameter and compactness alter radial force dynamics.

Abstract

In this work we analyse the stability of self gravitating spheres in the context of gravitational cracking. Besides exploring the role played by the anisotropy in the occurrence of cracking, we also study the effect of the complexity factor recently introduced by L. Herrera in Phys. Rev. D 97, 044010 (2018). The models under study correspond to anisotropic solutions obtained in the framework of the Gravitational Decoupling. The effect that the variation of the decoupling parameter and the compactness of the source have on the behaviour of the radial force is studied in detail.