The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity

Abstract

In this paper, we investigate irregularities in a cylindrical self-gravitating system which contains the properties of an imperfect matter and electromagnetic field. For $f(R,T,Q)$ theory, in which $R$ represents the Ricci scalar and $T$ shows the trace of matter stress-energy tensor while $Q\equiv R_{\gamma \delta }{T}^{\gamma \delta }$, the field equations containing electric charge, mass functions and Darmois junction conditions at the hypersurface are examined. We have adopted new definition of complexity introduced by Herrera \cite{herrera2018new}, generalized it for the static charged cylindrically symmetric case in $f(R,T,Q)$ theory by performing a detailed analysis on the orthogonal splitting of the Riemann curvature tensor. One of the effective scalars, $Y_{TF}$, has been recognized as a complexity factor. This factor is comprised of certain physical components of the fluid such as irregularity in energy density, locally pressure anisotropy and electric charge (arranged in a specific way). In addition, the effects of extra curvature terms of modified gravity are examined by making the relations among the complexity factor, Weyl scalar and Tolman mass.

29 pages, version accepted fr publication in Physics of the Dark Universe

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• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• 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
• Effects of Charge and Gravitational Decoupling on Complexity and Isotropization of Anisotropic Models
• Non-singular anisotropic solutions for strange star model in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\zeta \gamma }{\mathcal{T}}^{\zeta \gamma })$ gravity theory
• 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
• Estimating the Role of Bag Constant and Modified Theory on Anisotropic Stellar Models
• Measure of Complexity in Self-Gravitating Systems using Structure Scalars
• 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
• Impact of Charge on Complexity Analysis and Isotropic Decoupled Solutions in $f(\mathbb{R},\mathbb{T})$ Gravity
• Study of Anisotropic Compact Stars in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\chi \xi }{\mathcal{T}}^{\chi \xi })$ Gravity
• Analysis of Cosmic Evolution admitting Garcia-Salcedo Ghost and Generalized Ghost Dark Energy Models
• Anisotropic Stellar Models with Tolman IV Spacetime in Non-minimally Coupled Theory
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
• Charged Anisotropic Spherical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Junction conditions in gravity theories with extra scalar degrees of freedom
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Herrera Complexity and Shadows of Spherically Symmetric Compact Objects