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.

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References in corpus (11)

• Stability of the isotropic pressure condition
• Conformally flat polytropes for anisotropic matter
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Complexity and neutron stars structure
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• Stellar models with like--Tolman IV complexity factor
• Ultracompact stars with polynomial complexity by gravitational decoupling
• Gravitational cracking and complexity in the framework of gravitational decoupling
• Complexity of the Bondi metric
• Anisotropic Spherical Solutions through Extended Gravitational Decoupling Approach

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• 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