Complexity for Dynamical Anisotropic Sphere in f(G,T) Gravity

Abstract

This paper is devoted to the formulation of a complexity factor for dynamical anisotropic sphere in the framework of $f(G,T)$ gravity, where $G$ is the Gauss-Bonnet invariant and $T$ is the trace of energy-momentum tensor. Inhomogeneous energy density, anisotropic pressure, heat dissipation and modified terms create complexity within the self-gravitating system. We evaluate the structure scalars by orthogonal splitting of the Riemann tensor to evaluate a complexity factor which incorporates all the fundamental properties of the system. Moreover, we examine the dynamics of the sphere by assuming homologous mode as the simplest pattern of evolution. We also discuss dissipative as well as non-dissipative scenarios corresponding to homologous and complexity free conditions. Finally, we establish a criterion under which the complexity free condition remains stable throughout the process of evolution. We conclude that the presence of dark source terms of $f(G,T)$ gravity increase the system's complexity.

28 pages, 2 figures, to appear in Chinese J. Physics

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• Complexity of Charged Dynamical Spherical System in Modified Gravity
• Configurational entropy and stability conditions of fermion and boson stars
• Statistical complexity as a probe of mass and phase structure in compact objects