Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity

TL;DR

This paper investigates the complexity of static anisotropic spheres within self-interacting Brans-Dicke gravity, revealing that scalar fields increase the system's complexity and deriving solutions under vanishing complexity conditions.

Contribution

It introduces a new complexity factor based on structure scalars in Brans-Dicke theory and explores solutions for stellar models with scalar field effects.

Findings

Complexity increases with scalar field and potential.

Derived solutions for stellar models with vanishing complexity.

Established a new framework for analyzing complexity in alternative gravity.

Abstract

In this paper, we study the complexity factor of a static anisotropic sphere in the context of self-interacting Brans-Dicke theory. We split the Riemann tensor using Bel's approach to obtain structure scalars relating to comoving congruence and Tolman mass in the presence of a scalar field. We then define the complexity factor with the help of these scalars to demonstrate the complex nature of the system. We also evaluate the vanishing complexity condition to obtain solutions for two stellar models. It is concluded that the complexity of the system increases with the inclusion of the scalar field and potential function.