Ultracompact stars with polynomial complexity by gravitational decoupling

In this work we construct an ultracompact star configuration in the framework of Gravitational Decoupling by the Minimal Geometric Deformation approach. We use the complexity factor as a complementary condition to close the system of differential equations. It is shown that for a polynomial complexity the resulting solution can be matched with two different modified-vacuum geometries.

Automated summary

In this study, an ultracompact star configuration is constructed using the Minimal Geometric Deformation approach within the framework of Gravitational Decoupling. The complexity factor is employed as a complementary condition to solve the system of differential equations. It is demonstrated that for a polynomial complexity, the resulting solution can be matched with two different modified-vacuum geometries.