Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity

TL;DR

This paper explores the complexity of static cylindrical structures in energy-momentum squared gravity, deriving conditions for complexity and analyzing how modifications to gravity influence the system's structure and matter distribution.

Contribution

It introduces a complexity factor for cylindrical systems in energy-momentum squared gravity and derives solutions under complexity-free conditions using specific models.

Findings

Additional terms in the modified gravity increase system complexity.

The complexity factor is influenced by anisotropic pressure and energy density inhomogeneity.

Solutions are obtained under complexity-free conditions using specific models.

Abstract

This paper investigates some physical features that give rise to complexity within the self-gravitating static cylindrical structure coupled with anisotropic distribution in the energy-momentum squared gravity. To accomplish this, we formulate the modified field equations and explore the structure of the astronomical body. The C-energy and Tolman mass are also calculated to discuss the matter distribution. We then obtain some structure scalars via orthogonal splitting of the Riemann tensor. Since, the complexity of the considered structure is influenced by a variety of variables, including anisotropic pressure and inhomogeneous energy density, etc. thus, we adopt the factor $\mathcal{Y}_{TF}$ as the complexity factor. Further, the complexity-free condition along with the Gokhroo-Mehra model and polytropic equation of state are taken to generate their corresponding solutions. We deduce that the inclusion of additional terms of this modified theory leads to a more complicated system.