Complexity factor of spherically anisotropic polytropes from gravitational decoupling

Abstract

In this work we will analyse the complexity factor, proposed by L. Herrera, for spherically symmetric static matter distributions satisfying a polytropic equation through the gravitational decoupling method. Specifically, we will use the 2-step GD, which is a particular case of the extended geometric deformation (EGD), to obtain analytic polytropic solutions of Einstein's equations. In order to give an example, we construct a model satisfying a polytropic equation of state using Tolman IV as a seed solution.

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References in corpus (33)

• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Gravitational decoupling for axially symmetric systems and rotating black holes
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Brane-world stars with solid crust and vacuum exterior
• Conformally flat polytropes for anisotropic matter
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• General relativistic polytropes with a repulsive cosmological constant
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Complexity and neutron stars structure
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• Relativistic Anisotropic Fluid Spheres Satisfying a Non-Linear Equation of State
• A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
• Ultracompact stars with polynomial complexity by gravitational decoupling
• A Polytropic Model of Quark Stars
• Gravitational cracking and complexity in the framework of gravitational decoupling
• Anisotropic 2+1 dimensional black holes by gravitational decoupling
• Energy exchange between relativistic fluids: the polytropic case
• Complexity of the Bondi metric
• Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach
• Regularity condition on the anisotropy induced by gravitational decoupling in the framework of MGD
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach
• The general relativistic double polytrope for anisotropic matter
• Polytropic spheres containing regions of trapped null geodesics
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Class I polytropes for anisotropic matter
• The double polytrope for anisotropic matter: Newtonian Case
• Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity
• Dynamical instability of polytropic spheres in spacetimes with a cosmological constant
• Acceptability Conditions and Relativistic Barotropic Equations of State
• Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity
• Polytropic spheres modelling dark matter halos of dwarf galaxies

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