Work

Analyzing the impact of Gauss–Bonnet corrections on structure scalars admitting the zero complexity condition

Year: 2025

Type: article

Abstract: In this paper, we evaluate the complexity of the anisotropic static cylindrical geometry in the framework of $$f(\mathcal {G})$$ f ( G ) gravity, where $$\mathcal {G}$$ G represents the Gauss–Bonnet term. In this perspective, we calculate modified field equations, the C energy formula, the Tolman–Oppenheimer–Volkoff equation, and the mass function that help to understand the astrophysical structures in $$f(\mathcal {G})$$ f ( G ) gravity. Furthermore, we used the Weyl tensor and obtained different structure scalars by orthogonally splitting the Riemann tensor. One of these scalars, $$Y_{TF}$$ Y TF , is referred to as the complexity factor. This parameter measures system complexity due to non-uniform energy density and non-isotropic pressure. Using the constraint of the variable of vanishing complexity, time-independent solutions are derived for the Gokhroo–Mehra model. It is found that the presence of corrective terms reduce the complexity of the system.

Source: The European Physical Journal C

DOI: 10.1140/epjc/s10052-025-13899-3

Authors: M. M. M. Nasir, M. Zeeshan Gul, Orhan Donmez, Faisal Javed, Bander Almutairi