Quasi-static evolution of axially and reflection symmetric large-scale configuration

Abstract

We review recently offered notions of quasi-static evolution of the axial self-gravitating structures at large-scales and the criteria to characterize the corresponding evolutionary aspects under the influence of strong curvature regimes. In doing so, we examine the axial source's dynamic and quasi-static behavior within the parameters of various modified gravity theories. We address the formalism of these notions and their possible implications in studying the dissipative and anisotropic configuration. We initiate by considering higher-order curvature gravity. The Palatini formalism of $f(R)$ gravity is also taken into consideration to analyze the behavior of the kinematical as well as the dynamical variables of the proposed problem. The set of invariant velocities is defined to comprehend the concept of quasi-static approximation that enhances the stability of the system in contrast to the dynamic mode. It is identified that vorticity and distinct versions of the structure scalars $Y_I$, $Y_{II}$ and $Y_{KL}$ play an important role in revealing the significant effects of a fluid's anisotropy. As another example of evolution, we check the influence of Palatini-based factors on the shearing motion of the object. A comparison-based study of the physical nature of distinct curvature factors on the propagation of the axial source is exhibited. This provides an intriguing platform to grasp the notion of quasi-static evolution together with the distinct curvature factors at the current time scenario. The importance of slowly evolving axially symmetric regimes will be addressed through the distinct modified gravitational context. Finally, we share a list of queries that, we believe, deserve to be addressed in the near future.

43 pages

References in corpus (40)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• f(R,T) gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Beyond the Cosmological Standard Model
• Inflationary cosmology in modified gravity theories
• Dark Energy and Gravity
• Equation of State of a Dense and Magnetized Fermion System
• Limit to General Relativity in f(R) theories of gravity
• Dark Energy and Dark Gravity
• Wormholes supported by hybrid metric-Palatini gravity
• Modelling wormholes in $f(R,T)$ gravity
• Nonadiabatic charged spherical gravitational collapse
• Recent Advances on Inflation
• Integrated Sachs-Wolfe effect from the cross correlation of WMAP3 year and the NRAO VLA sky survey data: New results and constraints on dark energy
• Dark Matter From f(R,T) Gravity
• Energy-Momentum Squared Gravity
• A high redshift detection of the integrated Sachs-Wolfe effect
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Complexity factors for axially symmetric static sources
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
• Some analytical models of radiating collapsing spheres
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Definition of Complexity Factor for Self-Gravitating Systems in Palatini $f(R)$ Gravity
• Electromagnetic Field and Cylindrical Compact Objects in Modified Gravity
• Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
• The inertia of heat and its role in the dynamics of dissipative collapse
• Stability Analysis of Stellar Radiating Filaments
• Complexity of the Bondi metric
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Generalized Energy-Momentum-Squared Gravity in the Palatini Formalism
• Low redshift constraints on energy-momentum-powered gravity models
• Invariant Bianchi type I models in $f\left(R,T\right)$ Gravity
• Cosmological models in scale-independent energy-momentum squared gravity

Cited by in corpus (6)

• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• Thermodynamic properties of Quantum-Corrected AdS Black Hole with Phantom Global Monopoles
• Observational constraints using Bayesian statistics and Deep Learning in $f(Q)$ gravity
• Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity
• Modeling Gravastar Structure admitting Kuchowicz Spacetime in Rastall Gravity Theory