Complexity of dynamical cylindrical system in f(G, T) gravity

Abstract

The purpose of this paper is to formulate a complexity factor for a non-static cylindrical structure in the background of [Formula: see text] gravity, where [Formula: see text] and [Formula: see text] represent the Gauss–Bonnet term and trace of the energy–momentum tensor, respectively. Different physical factors such as inhomogeneous energy density, anisotropic pressure, heat dissipation and modified terms are considered as candidates of complexity. In order to determine a complexity factor encompassing the essential aspects of the system, we apply the technique of orthogonal splitting to the Riemann tensor. We also study evolution of the cylinder through two modes: homologous and homogeneous. Further, we utilize the complexity-free and homologous conditions to examine the dissipative and non-dissipative self-gravitating system. Finally, the factors responsible for inducing complexity during the evolution system are inspected. We deduce that the modified terms in [Formula: see text] gravity make the system more complex.

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. Additionally, the complexity factor may serve as a self-consistent method for integrating anisotropies [68,69], which has been explored in recent studies [70][71][72][73][74][75][76][77] and their associated references.…”

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

“…They also discussed different patterns of evolution and obtained stability of vanishing of the complexity factor. The complexity for dynamical self-gravitating objects has also been analyzed in f (G, T ) theory, where G is the Gauss-Bonnet invariant [44,45].…”

A simple protocol to construct solutions with vanishing complexity by Gravitational Decoupling

“…As we shall see later, although the radial deformation can be obtained independently after imposing some suitable equation of state, obtaining the temporal deformation is not straightforward in general. In this work we demonstrate that the complexity factor introduced in [64] (for recent developments see [65][66][67][68][69][70][71][72][73][74], for example) can be used to obtain a constraint on the metric functions which allow to obtain the temporal defora e-mails: econtreras@usfq.edu.ec ; ernesto.contreras@gmail.com (corresponding author) b e-mail: zdenek.stuchlik@physics.slu.cz mation analytically. The interest on the complexity factor has increase in recent years given that it provides useful information about how "complex" is a system in comparison with that supported by a homogeneous and isotropic fluid satisfying the so-called vanishing complexity condition.…”