Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity

Abstract

This paper studies charged star models associated with anisotropic matter distribution in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ theory, where $\mathcal{Q}={\mathcal{R}}_{\varphi \psi }{\mathcal{T}}^{\varphi \psi }$. For this purpose, we take a linear model of this gravity as $\mathcal{R}+\zeta \mathcal{Q}$, where $\zeta$ represents a coupling constant. We consider a self-gravitating spherical geometry in the presence of electromagnetic field and generate solution to the modified field equations by using the ``embedding class-one'' condition and $\mathbb{MIT}$ bag model equation of state. The observational data (masses and radii) of four different stellar models like 4U 1820-30,~SAX J 1808.4-3658,~SMC X-4 and Her X-I is employed to analyze the effects of charge on their physical properties. Finally, the effect of the coupling constant is checked on the viability, hydrostatic equilibrium condition and stability of the resulting solution. We conclude that the considered models show viable and stable behavior for all the considered values of charge and $\zeta$.

37 pages, 11 figures

References in corpus (20)

• Shapiro delay measurement of a two solar mass neutron star
• f(R,T) gravity
• 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
• Generalized model for anisotropic compact stars
• Charged anisotropic models for quark stars
• A new deterministic model of strange stars
• Thermodynamic Behavior of particular $f(R,T)$ Gravity Models
• Relativistic strange stars in Tolman-Kuchowicz spacetime
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• 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
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Extended Decoupled Anisotropic Solutions in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \chi }{\mathcal{T}}^{\gamma \chi })$ Gravity
• Study of Anisotropic Compact Stars in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\chi \xi }{\mathcal{T}}^{\chi \xi })$ Gravity
• Electromagnetic Effects on Cracking of Anisotropic Polytropes
• Revisiting the Darmois and Lichnerowicz junction conditions

Cited by in corpus (9)

• Existence of Non-singular Stellar Solutions within the context of Electromagnetic Field: A Comparison between Minimal and Non-minimal Gravity Models
• Study of Decoupled Cosmological Solutions in $f(\mathbb{R},\mathbb{T})$ Theory
• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Anisotropic Stellar Models with Tolman IV Spacetime in Non-minimally Coupled Theory
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory