Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity

Abstract

This paper is devoted to studying charged anisotropic static spherically symmetric solutions through gravitationally decoupled minimal geometric deformation technique in $f(R)$ gravity. For this purpose, we first consider the known isotropic Krori-Barua solution for $f(R)$ Starobinsky model in the interior of a charged stellar system and then include the effects of two types of anisotropic solutions. The corresponding field equations are constructed and the unknown constants are obtained from junction conditions. We analyze the physical viability and stability of the resulting solutions through effective energy density, effective radial/tangential pressure, energy conditions, and causality condition. It is found that both solutions satisfy the stability range as well as other physical conditions for specific values of charge as well as model parameter and anisotropic constant. We conclude that the modified theory under the influence of charge yields more stable behavior of the self-gravitating system.

arXiv comment26 pages, 6 figures

References in corpus (30)

• f(R) theories
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Disappearing cosmological constant in f(R) gravity
• The Large Scale Structure of f(R) Gravity
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• One-loop f(R) gravity in de Sitter universe
• Anisotropic solutions by gravitational decoupling
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Thermodynamic Behavior of Field Equations for f(R) Gravity
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• Gravitational decoupled anisotropies in compact stars
• A f(R) gravity without cosmological constant
• Tolman IV solution in the Randall-Sundrum Braneworld
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• The Minimal Geometric Deformation Approach Extended
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• Jeans analysis of self-gravitating systems in f(R)-gravity
• Collapsing spherical stars in f(R) gravity
• Gravitational Decoupled Charged Anisotropic Spherical Solutions
• Minimal Geometric Deformation in a cloud of strings
• Neutron stars in Starobinsky model
• Constraining f(R) theories with the energy conditions
• Gravitational Decoupled Anisotropic Solutions in $f(\mathcal{G})$ Gravity
• Effects of f(R) Model on the Dynamical Instability of Expansionfree Gravitational Collapse
• Mass bounds for compact spherically symmetric objects in generalized gravity theories
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Electromagnetic Effects on Cracking of Anisotropic Polytropes
• Weakly Charged Compact Stars in $f\left(R\right)$ gravity

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