Effects of Charge and Gravitational Decoupling on Complexity and Isotropization of Anisotropic Models

Abstract

This paper constructs two immediate extensions of the existing anisotropic solutions in the context of Einstein-Maxwell framework by employing minimal geometric deformation. To achieve this, we assume a static spherical interior initially filled with anisotropic fluid and call it a seed source. We extend this matter configuration by including a new source whose impact on the self-gravitating system is governed by a decoupling parameter. The charged field equations analogous to the total fluid source are formulated. We then implement a transformation on the radial metric potential that divides the field equations into two new under-determined systems, corresponding to the initial and new sources. The first of them is addressed by taking two well-known metric ansatz so that the number of unknowns can be tackled. Further, the vanishing of total anisotropy and complexity-free constraints are used to solve the second set. The estimated radius and mass of a compact star $4U1820-30$ is utilized to interpret the resulting solutions graphically for different values of the charge and decoupling parameter $\omega$. We conclude that our both developed models are physically acceptable for all parametric values except $\omega =1$.

arXiv comment35 pages, 14 figures

References in corpus (31)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Phases of dense matter in neutron stars
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Tolman IV solution in the Randall-Sundrum Braneworld
• Black holes by gravitational decoupling
• The Minimal Geometric Deformation Approach Extended
• Equilibrium models of relativistic stars with a toroidal magnetic field
• Isotropization and change of complexity by gravitational decoupling
• A new family of analytical anisotropic solutions by gravitational decoupling
• Gravitational Decoupled Charged Anisotropic Spherical Solutions
• Anisotropic Tolman VII solution by gravitational decoupling
• The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
• Brane-world stars and (microscopic) black holes
• Relativistic Charged Spheres II: Regularity and Stability
• Relativistic models of magnetars: Nonperturbative analytical approach
• Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Stellar models with like--Tolman IV complexity factor
• Ultracompact stars with polynomial complexity by gravitational decoupling
• Non-uniform Braneworld Stars: an Exact Solution
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• The Schwarzschild's Braneworld Solution
• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• Effect of Extended Gravitational Decoupling on Isotropization and Complexity in f(\mathbb{R},\mathbb{T}) Theory
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Charged Anisotropic Models with Complexity-free Condition
• Quantum Poker A game for quantum computers suitable for benchmarking error mitigation techniques on NISQ devices
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Regular Bulk Solutions in Brane-worlds with Inhomogeneous Dust and Generalized Dark Radiation

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