Complexity of a dynamical dissipative cylindrical system in non-minimally coupled theory

This paper aims to formulate certain scalar factors associated with the matter variables for a self-gravitating non-static cylindrical geometry by considering a standard model R + & sigmaf;Q of f(R, T, Q) gravity, where Q = R phi theta T phi theta and & sigmaf; is the arbitrary coupling parameter. We split the Riemann tensor orthogonally to calculate four scalars and deduce Y-TF as a complexity factor for the fluid configuration. This scalar incorporates the influence of the inhomogeneous energy density, heat flux and pressure anisotropy along with correction terms for the modified gravity. We discuss the dynamics of the cylinder by considering the two simplest modes of structural evolution. We then take Y-TF = 0 with a homologous condition to determine the solution for the 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 the complex functional of this theory results in a more complex structure.

Automated summary

This paper investigates scalar factors associated with matter variables for a self-gravitating non-static cylindrical geometry using the f(R, T, Q) gravity theory. The Riemann tensor is orthogonally decomposed to calculate four scalars, and a complexity factor called Y-TF is derived. The dynamics of the cylinder is discussed, and solutions are determined for dissipative and non-dissipative scenarios by setting Y-TF = 0. The stability of the complexity-free condition throughout the evolution is also discussed.