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

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.

arXiv comment24 pages, 3 figures

References in corpus (39)

• The Sloan Digital Sky Survey: Technical Summary
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Cosmological Constant
• A Statistical Measure of Complexity
• The 2dF QSO Redshift Survey - XII. The spectroscopic catalogue and luminosity function
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• New definition of complexity for self-gravitating fluid distributions: The spherically symmetric, static case
• Generalized curvature-matter couplings in modified gravity
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Energy-Momentum Squared Gravity
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• On the role of density inhomogeneity and local anisotropy in the fate of spherical collapse
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
• Cosmological Models in Energy-Momentum-Squared Gravity
• On the stability of the shear-free condition
• Conformally flat polytropes for anisotropic matter
• Compact stars in Energy-Momentum Squared Gravity
• Complexity and white-dwarf structure
• Complexity factors for axially symmetric static sources
• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• New Definition of Complexity Factor in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Cylindrical Systems in General Relativity
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Dynamics of Non-adiabatic Charged Cylindrical Gravitational Collapse
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Cylindrical Collapse and Gravitational Waves
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Quantum Poker A game for quantum computers suitable for benchmarking error mitigation techniques on NISQ devices
• Complexity of Dynamical Dissipative Cylindrical System in Non-minimally Coupled Theory
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• Integrability Conditions for Irrotational Dust with a Purely Electric Weyl Tensor: A Tetrad Analysis
• 3+1 description of silent universes: a uniqueness result for the Petrov type I vacuum case

Cited by in corpus (1)

• Anisotropic stars made of exotic matter within the complexity factor formalism