Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory

Abstract

This paper discusses the interior distribution of several anisotropic star models coupled with an electromagnetic field in the context of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where $\mathcal{Q}={\mathcal{R}}_{\beta \xi }{\mathcal{T}}^{\beta \xi }$. In this regard, a standard model of this modified gravity is taken as $\mathcal{R}+{\nu }_3{\mathcal{R}}_{\beta \xi }{\mathcal{T}}^{\beta \xi }$, where ${\nu }_3$ symbolizes an arbitrary coupling constant. We assume a charged spherically symmetric metric that represents the interior geometry of compact quark stars and develop the corresponding modified field equations. These equations are then solved with the help of metric potentials of Tolman IV spacetime and a linear bag model equation of state. We consider the experimental data (i.e., radii and masses) of different quark models such as SMC X-4, SAX J 1808.4-3658, Her X-I and 4U 1820-30 to analyze how the charge and modified corrections affect their physical characteristics. The viability and stability of the resulting model is also checked for the considered star candidates with two different values of ${\nu }_3$. We conclude that only two models, Her X-I and 4U 1820-30 show stable behavior in this modified framework for both values of the coupling constant.

arXiv comment36 pages, 9 figures, Accepted for publication in Physica Scripta

References in corpus (46)

• Shapiro delay measurement of a two solar mass neutron star
• f(R,T) gravity
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Extra force in $f(R)$ modified theories of gravity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• The Large Scale Structure of f(R) Gravity
• Maximum bounds on the surface redshift of anisotropic stars
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Strange Stars with Realistic Quark Vector Interaction and Phenomenological Density-dependent Scalar Potential
• Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii
• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• f(R,T) Cosmological Models in Phase Space
• Gravastars in $f(R,\mathcal{T})$ gravity
• Collapsing spherical stars in f(R) gravity
• A relativistic model for Strange Quark Star
• Charged anisotropic models for quark stars
• Radial stability of anisotropic strange quark stars
• Energy Conditions in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• A new deterministic model of strange stars
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Study on charged strange stars in $f\left(R,\mathcal{T}\right)$ gravity
• Stellar models with like--Tolman IV complexity factor
• New Definition of Complexity Factor in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Study of Decoupled Cosmological Solutions in $f(\mathbb{R},\mathbb{T})$ Theory
• Thermodynamic Behavior of particular $f(R,T)$ Gravity Models
• Relativistic strange stars in Tolman-Kuchowicz spacetime
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• 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
• Computation of the structure of magnetized strange quark star
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Charged Anisotropic Models with Complexity-free Condition
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Isotropic cases of static charged fluid spheres in general relativity
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Study of Charged Compact Stars in Non-minimally Coupled Gravity
• Extended Decoupled Anisotropic Solutions in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \chi }{\mathcal{T}}^{\gamma \chi })$ Gravity
• Electromagnetic Effects on Cracking of Anisotropic Polytropes
• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity

Cited by in corpus (1)

• Anisotropic Durgapal-Fuloria Neutron Stars in $f(\mathcal{R},{\mathrm{T}}^2)$ Gravity