Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity

Abstract

In this article, we have studied a cylindrically symmetric self-gravitating dynamical object via complexity factor which is obtained through orthogonal splitting of Reimann tensor in $f(R,T)$ theory of gravity. Our study is based on the definition of complexity for dynamical sources, proposed by Herrera \cite{12b}. We actually want to analyze the behavior of complexity factor for cylindrically symmetric dynamical source in modified theory. For this, we define the scalar functions through orthogonal splitting of Reimann tensor in $f(R,T)$ gravity and work out structure scalars for cylindrical geometry. We evaluated the complexity of the structure and also analyzed the complexity of the evolutionary patterns of the system under consideration. In order to present simplest mode of evolution, we explored homologous condition and homogeneous expansion condition in $f(R,T)$ gravity and discussed dynamics and kinematics in the background of a generic viable non-minimally coupled $f(R,T)={\alpha }_1{R}^m{T}^n+{\alpha }_{2}T(1+{\alpha }_3{T}^p{R}^q)$ model. In order to make a comprehensive analysis, we considered three different cases (representing both minimal and non-minimal coupling) of the model under consideration and found that complexity of a system is increased in the presence of higher order curvature terms, even in the simplest modes of evolution. However, higher order trace terms affects the complexity of the system but they are not crucial for simplest modes of evolution in the case of minimal coupling. The stability of vanishing of complexity factor has also been discussed.

17 pages

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Cited by in corpus (17)

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• Uncharged and charged anisotropic like--Durgapal stellar model with vanishing complexity
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• Charged strange star in $f(R,T)$ gravity with linear equation of state
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Finch-Skea star model in f(R, T ) theory of gravity
• Slow-roll inflation in $f(R,T)$ gravity with a $RT$ mixing term
• Dynamical conditions and causal transport of dissipative spherical collapse in $f(R,T)$ gravity
• Complexity factor of spherically anisotropic polytropes from gravitational decoupling
• Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity
• Metric-Affine Vector-Tensor Correspondence and Implications in $F(R,T,Q,\mathcal{T},\mathcal{D})$ gravity
• Cosmological effects on $f(\bar{R},\bar{T})$ gravity through a non-standard theory
• Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
• Complexity of Charged Dynamical Spherical System in Modified Gravity
• Gaussian curvature of spherical shells: A geometric measure of complexity