Ultracompact stars with polynomial complexity by gravitational decoupling

TL;DR

This paper constructs ultracompact star models using gravitational decoupling and polynomial complexity, demonstrating solutions that match different modified-vacuum geometries, advancing understanding of compact objects in modified gravity.

Contribution

It introduces a novel approach to modeling ultracompact stars with polynomial complexity using gravitational decoupling and the minimal geometric deformation method.

Findings

Solutions can be matched with two different modified-vacuum geometries.

The complexity factor effectively closes the differential equations system.

Ultracompact star configurations are successfully constructed within this framework.

Abstract

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.