Implications of pressure anisotropy and complexity factor on the gravitational cracking phenomenon

In this study, we are investigating the stability of some stellar configurations evolving under anisotropic environment, in the background of gravitational cracking. The models we consider pertain to anisotropic versions of Durgapal–Fuloria model, which are established using the gravitational decoupling framework and present diverse scenarios involving complexity factor. Our analysis delves into the impact of anisotropy on the occurrence of cracking, as well as the influence of the complexity factor, which was introduced by Herrera (Phys Rev D 97:044010, 2018). We thoroughly examine how variations in the decoupling parameter and the compactness of the source contribute to the behavior of the radial force. It is found that more compact objects are more prone to gravitational cracking.