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.

arXiv comment43 pages

References in corpus (92)

• Dynamics of dark energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• 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
• f(T) teleparallel gravity and cosmology
• Beyond the Cosmological Standard Model
• Teleparallel Gravity: From Theory to Cosmology
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• 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
• Structure and evolution of self-gravitating objects and the orthogonal splitting of the Riemann tensor
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Stellar structure models in modified theories of gravity: lessons and challenges
• Wormholes supported by hybrid metric-Palatini gravity
• Modelling wormholes in $f(R,T)$ gravity
• Dark energy in Horndeski theories after GW170817: A review
• Nonadiabatic charged spherical gravitational collapse
• Recent Advances on Inflation
• Dynamics of dissipative gravitational collapse
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• 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
• Analytical general solutions for static wormholes in $f(R,T)$ gravity
• Dark Matter From f(R,T) Gravity
• Energy-Momentum Squared Gravity
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
• Why do naked singularities form in gravitational collapse?
• A high redshift detection of the integrated Sachs-Wolfe effect
• Spectroscopic Properties of Void Galaxies in the Sloan Digital Sky Survey
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Cosmological Models in Energy-Momentum-Squared Gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Geonic black holes and remnants in Eddington-inspired Born-Infeld gravity
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Dynamics of viscous dissipative gravitational collapse: A full causal approach
• Cosmic Voids: structure, dynamics and galaxies
• Cylindrically Symmetric Relativistic Fluids: A Study Based on Structure Scalars
• Compact stars in Energy-Momentum Squared Gravity
• 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
• Nonsingular Black Holes in $f(R)$ Theories
• Anisotropic geodesic fluid spheres in general relativity
• Some analytical models of radiating collapsing spheres
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmic acceleration in dust only Universe via energy-momentum powered gravity
• 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
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• Thermal Conduction in Systems out of Hydrostatic Equilibrium
• Stability Analysis of Stellar Radiating Filaments
• The inertia of heat and its role in the dynamics of dissipative collapse
• Screening $\Lambda$ in a new modified gravity model
• Bulk Viscosity in Neutron Stars from Hyperons
• Axially symmetric static sources: A general framework and some analytical solutions
• Complexity of the Bondi metric
• Role of gravitational decoupling on isotropization and complexity of self-gravitating system under complete geometric deformation approach
• Thermo--inertial bouncing of a relativistic collapsing sphere: A numerical model
• Minimum main sequence mass in quadratic Palatini $f(\mathcal{R})$ gravity
• Role of $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Model on the Stability of Cylindrical Stellar Model
• Cosmology in scalar-tensor $f(R,T)$ gravity
• The cosmology in f(R,T) gravity without dark energy
• Anisotropic Models for Globular Clusters, Galactic Bulges and Dark Halos
• Eikonal black hole ringings in generalized energy-momentum squared gravity
• Complexity Factor for Static Sphere in Self-interacting Brans-Dicke Gravity
• Cylindrical Collapse and Gravitational Waves
• Screening anisotropy via energy-momentum squared gravity: $\Lambda$CDM model with hidden anisotropy
• 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
• On the effective inertial mass density of a dissipative fluid
• Role of Structure Scalars on the evolution of Compact Objects in Palatini $f(R)$ Gravity
• Rapidly rotating neutron stars in $f(R,T)$ gravity
• Dissipative Self-Gravitating Systems in Modified Gravity
• Cosmological models in scale-independent energy-momentum squared gravity
• Quasi Static Evolution of Compact Objects in Modified Gravity
• Axially symmetric dissipative fluids in the quasi--static approximation
• Magnetized strangelets at finite temperature
• Geometric aspects of charged black holes in Palatini theories

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