Ultracompact stars with polynomial complexity by gravitational decoupling

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.

arXiv comment7 pages, 4 figures. Version accepted in EPJC

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• Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach
• Effect of Extended Gravitational Decoupling on Isotropization and Complexity in f(\mathbb{R},\mathbb{T}) Theory
• Effects of Charge and Gravitational Decoupling on Complexity and Isotropization of Anisotropic Models
• A static and spherically symmetric hairy black hole in the framework of the Gravitational Decoupling
• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^2)$ Gravity
• Possible Existence of Ghost Stars in the context of Electromagnetic Field
• Minimally deformed wormholes inspired by noncommutative geometry
• The spacetime geodesy of perfect fluid spheres