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

18 pages, no figure

References in corpus (20)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Chameleon Cosmology
• A Statistical Measure of Complexity
• The Confrontation between General Relativity and Experiment
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Tendency to Maximum Complexity in a Non-Equilibrium Isolated System
• On the role of density inhomogeneity and local anisotropy in the fate of spherical collapse
• Statistical complexity, Fisher-Shannon information, and Bohr orbits in the H-atom
• Complexity and white-dwarf structure
• Complexity factors for axially symmetric static sources
• Complexity Factor for Charged Spherical System
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Complexity and neutron stars structure
• Cosmology in Brans-Dicke theory with a scalar potential
• Energy conditions in f(R) gravity and Brans-Dicke theories
• Instability Analysis of Cylindrical Stellar Object in Brans-Dicke Gravity

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• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Complexity of Charged Dynamical Spherical System in Modified Gravity
• Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity
• Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object
• On Modeling Anisotropic Quark Stars: The Role of Anisotropy in Radial Oscillation Spectra