Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor

Abstract

We investigate the evolution of self-gravitating either dissipative or non--dissipative systems satisfying the condition of minimal complexity, and whose areal radius velocity is proportional to the areal radius (quasi-homologous condition). Several exact analytical models are found under the above mentioned conditions. Some of the presented models describe the evolution of spherically symmetric dissipative fluid distributions whose center is surrounded by a cavity. Some of them satisfy the Darmois conditions whereas others present shells and must satisfy the Israel condition on either one or both boundary surfaces. Prospective applications of some of these models to astrophysical scenarios are discussed.

arXiv comment15 pages Latex. Published in Eur. Phys.J. C

References in corpus (34)

• The Void Phenomenon
• 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
• Voids in the PSCz Survey and the Updated Zwicky Catalog
• Voids in the 2dF Galaxy Redshift Survey
• Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
• Isotropization and change of complexity by gravitational decoupling
• Extragalactic Radio Sources and the WMAP Cold Spot
• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• On the stability of the shear-free condition
• Cosmic Voids: structure, dynamics and galaxies
• Complexity factors for axially symmetric static sources
• Some analytical models of radiating collapsing spheres
• Complexity Factor for Charged Spherical System
• Shear-free radiating collapse and conformal flatness
• Complexity Factor For Static Anisotropic Self-Gravitating Source in $f(R)$ Gravity
• Radiating Collapse with Vanishing Weyl stresses
• Minivoids in the Local Volume
• Hyperbolic theories of dissipation: Why and when do we need them?
• New Definition of Complexity Factor in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Cavity evolution in relativistic self-gravitating fluids
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric $f(R)$ Gravity
• Complexity analysis of Cylindrically Symmetric Self-gravitating Dynamical System in $f(R,T)$ Theory of Gravity
• Complexity of the Bondi metric
• A different approach to anisotropic spherical collapse with shear and heat radiation
• All solutions for geodesic anisotropic spherical collapse with shear and heat radiation
• Radiating relativistic matter in geodesic motion
• Mixed potentials in radiative stellar collapse
• Holes in the static Einstein universe and the model of the cosmological voids
• Dissipative Self-Gravitating Systems in Modified Gravity
• Statistics and geometry of cosmic voids
• Accelerated Expansion of the Universe in the Model with Non-Uniform Pressure
• Cosmological black holes as voids progenitors. I. Simulations

Cited by in corpus (14)

• $f(\mathcal{G},T_{\alpha \beta }{T}^{\alpha \beta })$ Theory and Complex Cosmological Structure
• Quasi-static evolution of axially and reflection symmetric large-scale configuration
• 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
• Role of Complexity on the Minimal Deformation of Black Holes
• Hyperbolically symmetric versions of Lemaitre-Tolman-Bondi spacetimes
• Non-static hyperbolicallly symmetric fluids
• Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
• Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Dynamics of self-gravitating systems in non-linearly magnetized chameleonic Brans-Dicke gravity
• Gaussian curvature of spherical shells: A geometric measure of complexity
• The spacetime geodesy of perfect fluid spheres
• The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions