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 (86)

• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Spherically symmetric dissipative anisotropic fluids: A general study
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• General relativistic polytropes for anisotropic matter: The general formalism and applications
• Gravitational decoupled anisotropies in compact stars
• Tolman IV solution in the Randall-Sundrum Braneworld
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Isotropization and change of complexity by gravitational decoupling
• A new family of analytical anisotropic solutions by gravitational decoupling
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Anisotropic Tolman VII solution by gravitational decoupling
• Growth of perturbations in an expanding universe with Bose-Einstein condensate dark matter
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Brane-world stars with solid crust and vacuum exterior
• Minimal Geometric Deformation in a cloud of strings
• Newtonian polytropes for anisotropic matter: General framework and applications
• Conformally flat polytropes for anisotropic matter
• The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
• Brane-world stars and (microscopic) black holes
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• General Relativistic Stars : Polytropic Equations of State
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• Complexity and white-dwarf structure
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• Generating perfect fluid spheres in general relativity
• Charged anisotropic compact objects by gravitational decoupling
• Anisotropic geodesic fluid spheres in general relativity
• Einstein-Klein-Gordon by gravitational decoupling
• Complexity Factor for Charged Spherical System
• Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity
• General relativistic polytropes with a repulsive cosmological constant
• Minimal Geometric Deformation: the inverse problem
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Dark SU(N) glueball stars on fluid branes
• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Strong Deflection Limit Lensing Effects in the Minimal Geometric Deformation and Casadio-Fabbri-Mazzacurati Solutions
• Complexity and neutron stars structure
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• A way of decoupling gravitational sources in pure Lovelock gravity
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Relativistic Anisotropic Fluid Spheres Satisfying a Non-Linear Equation of State
• Black hole acoustics in the minimal geometric deformation of a de Laval nozzle
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• GUP Hawking fermions from MGD black holes
• Black Strings from Minimal Geometric Deformation in a Variable Tension Brane-World
• A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
• Ultracompact stars with polynomial complexity by gravitational decoupling
• The extended minimal geometric deformation of SU($N$) dark glueball condensates
• A Polytropic Model of Quark Stars
• Evolution of relativistic polytropes in the post--quasi--static regime
• Gravitational cracking and complexity in the framework of gravitational decoupling
• New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinates
• MGD Dirac stars
• The minimal of geometric deformation of Yang-Mills-Dirac stellar configurations
• Anisotropic 2+1 dimensional black holes by gravitational decoupling
• Energy exchange between relativistic fluids: the polytropic case
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Complexity of the Bondi metric
• Gregory-Laflamme analysis of MGD black strings
• 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
• Holographic entanglement entropy under the minimal geometric deformation and extensions
• The general relativistic double polytrope for anisotropic matter
• Polytropic spheres containing regions of trapped null geodesics
• Class I polytropes for anisotropic matter
• MGD-decoupled black holes, anisotropic fluids and holographic entanglement entropy
• Probing the minimal geometric deformation with trace and Weyl anomalies
• Durgapal IV model in light of the minimal geometric deformation approach
• The double polytrope for anisotropic matter: Newtonian Case
• Extra packing of mass of anisotropic interiors induced by MGD
• Interior solutions of relativistic stars with anisotropic matter in scale-dependent gravity
• Braneworld Gravity under gravitational decoupling
• 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
• Radial instability of trapping polytropic spheres
• Polytropic spheres modelling dark matter halos of dwarf galaxies

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