Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach

Abstract

In the present paper, we discuss the role of gravitational decoupling to isotropize the anisotropic solution of Einstein's field equations in the context of the complete geometric deformation (CGD) approach and its influence on the complexity factor introduced by L. Herrera (Phys. Rev. D 97, 044010 (2018)) in the static self-gravitating system. Moreover, we also proposed a simple and effective technique to generate new solutions for self-gravitating objects via CGD approach by using two systems with the same complexity factor and vanishing complexity factor proposed by Casadio et al. Eur. Phys. J. C 79, 826 (2019). The effect of decoupling constant and the compactness on the complexity factor have been also analyzed for the obtained solutions.

arXiv comment5

References in corpus (39)

• A Statistical Measure of Complexity
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• 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
• General relativistic polytropes for anisotropic matter: The general formalism and applications
• Gravitational decoupled anisotropies in compact stars
• Stability of the isotropic pressure condition
• Black holes by gravitational decoupling
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Isotropization and change of complexity by gravitational decoupling
• Anisotropic Tolman VII solution by gravitational decoupling
• Minimal Geometric Deformation in a cloud of strings
• Newtonian polytropes for anisotropic matter: General framework and applications
• Conformally flat polytropes for anisotropic matter
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Minimal geometric deformation decoupling in $2+1$ dimensional space-times
• Complexity and white-dwarf structure
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Anisotropic ultracompact Schwarzschild star by gravitational decoupling
• The Gravitational decoupling method: the higher dimensional case to find new analytic solutions
• Einstein-Klein-Gordon by gravitational decoupling
• Complexity Factor for Charged Spherical System
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Complexity and neutron stars structure
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• A way of decoupling gravitational sources in pure Lovelock gravity
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• Stellar models with like--Tolman IV complexity factor
• Ultracompact stars with polynomial complexity by gravitational decoupling
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Gravitational cracking and complexity in the framework of gravitational decoupling
• New algorithms to obtain analytical solutions of Einstein's equations in isotropic coordinates
• Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric $f(R)$ Gravity
• Complexity of the Bondi metric
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach

Cited by in corpus (13)

• Complexity and Isotropization based Extended Models in the context of Electromagnetic Field: An Implication of Minimal Gravitational Decoupling
• A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• Energy exchange between relativistic fluids: the polytropic case
• Effect of Extended Gravitational Decoupling on Isotropization and Complexity in f(\mathbb{R},\mathbb{T}) Theory
• 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
• Quasi Normal Modes of hairy black holes at higher--order WKB approach
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• Dynamics of self-gravitating systems in non-linearly magnetized chameleonic Brans-Dicke gravity
• Possible Existence of Ghost Stars in the context of Electromagnetic Field
• Gaussian curvature of spherical shells: A geometric measure of complexity
• Energy transfer between the sources in gravitational decoupling