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.

arXiv comment29 pages, version accepted fr publication in Physics of the Dark Universe

References in corpus (47)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• f(T) teleparallel gravity and cosmology
• Beyond the Cosmological Standard Model
• A Statistical Measure of Complexity
• Inflationary cosmology in modified gravity theories
• f(R, T, R_μνT^μν) gravity phenomenology and ΛCDM universe
• Spherically symmetric dissipative anisotropic fluids: A general study
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Tendency to Maximum Complexity in a Non-Equilibrium Isolated System
• Junction conditions for F(R)-gravity and their consequences
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• Cosmological viable f(R,T) dark energy model: dynamics and stability
• On the consistency of universally non-minimally coupled $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ theories
• Cylindrically Symmetric Relativistic Fluids: A Study Based on Structure Scalars
• Role of Tilted Congruence and $f(R)$ Gravity on Regular Compact Objects
• Dynamical laws of superenergy in General Relativity
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Construction of Charged Cylindrical Gravastar-like Structures
• Expansion-Free Cavity Evolution: Some exact Analytical Models
• Stability Analysis of Stellar Radiating Filaments
• Structure Scalars for Charged Cylindrically Symmetric Relativistic Fluids
• Evolution of Compact Stars and Dark Dynamical Variables
• Expansion-free Cylindrically Symmetric Models
• Existence of bulk viscous universe in $f(R,T)$ gravity and confrontation with observational data
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Gravastars in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Cylindrical Collapse and Gravitational Waves
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Stability of Anisotropic Stellar Filaments
• Static cylindrical symmetry and conformal flatness
• The Gibbs paradox, the Landauer principle and the irreversibility associated with tilted observers
• Quantum Poker A game for quantum computers suitable for benchmarking error mitigation techniques on NISQ devices
• Landauer Principle and General Relativity
• Shearfree Spherically Symmetric Fluid Models
• On the Matching Conditions for the Collapsing Cylinder

Cited by in corpus (26)

• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Complexity and Isotropization based Extended Models in the context of Electromagnetic Field: An Implication of Minimal Gravitational Decoupling
• 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