Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory

Abstract

This paper aims to formulate certain scalar factors associated with matter variables for self-gravitating non-static cylindrical geometry by considering a standard model $\mathcal{R}+\zeta \mathcal{Q}$ of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ gravity, where $\mathcal{Q}={\mathcal{R}}_{\phi \vartheta }{\mathcal{T}}^{\phi \vartheta }$ and $\zeta$ is the arbitrary coupling parameter. We split the Riemann tensor orthogonally to calculate four scalars and deduce ${\mathcal{Y}}_{TF}$ as complexity factor for the fluid configuration. This scalar incorporates the influence of inhomogeneous energy density, heat flux and pressure anisotropy along with correction terms of the modified gravity. We discuss the dynamics of cylinder by considering two simplest modes of structural evolution. We then take ${\mathcal{Y}}_{TF}=0$ with homologous condition to determine the solution for dissipative as well as non-dissipative scenarios. Finally, we discuss the criterion under which the complexity-free condition shows stable behavior throughout the evolution. It is concluded that complex functional of this theory results in a more complex structure.

27 pages, no figure

References in corpus (9)

• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• The Large Scale Structure of f(R) Gravity
• Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom
• Complexity factors for axially symmetric static sources
• Thermodynamic Behavior of particular $f(R,T)$ Gravity Models
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions

Cited by in corpus (7)

• Cosmological Solutions through Gravitational Decoupling in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\mathrm{ab}}{\mathcal{T}}^{\mathrm{ab}})$ Gravity
• 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
• Charged Anisotropic Models with Complexity-free Condition
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Complexity of Charged Dynamical Spherical System in Modified Gravity