Physical causes of energy-density inhomogenization and stability of energy-density homogeneity in relativistic self--gravitating fluids
arXiv:1101.1514 · doi:10.1142/S0218271811019748
Abstract
We identify the factors responsible for the appearance of energy-density inhomogeneities in a self-gravitating fluid, and describe the evolution of those factors from an initially homogeneous distribution. It is shown that a specific combination of the Weyl tensor and/or local anisotropy of pressure and/or dissipative fluxes entails the formation of energy-density inhomogeneities. Different cases are analyzed in detail and in the particular case of dissipative fluids, the role of relaxational processes as well as non-local effects are brought out.
9 pages Revtex. Some changes in the Introduction to fit the version published in Int. J. Mod. Phys. D. Some typos corrected
References in corpus (6)
- Nonadiabatic charged spherical gravitational collapse
- Shearing Expansion-free Spherical Anisotropic Fluid Evolution
- Lemaitre-Tolman-Bondi dust spacetimes: Symmetry properties and some extensions to the dissipative case
- A Riccati equation in radiative stellar collapse
- Radiating relativistic matter in geodesic motion
- Radiating Gravitational Collapse with an Initial Inhomogeneous Energy Density Distribution
Cited by in corpus (26)
- Causes of Irregular Energy Density in Gravity
- Stability of the isotropic pressure condition
- Definition of complexity for dynamical spherically symmetric dissipative self-gravitating fluid distributions
- On the Role of Electric Charge and Cosmological Constant in Structure Scalars
- Cylindrically Symmetric Relativistic Fluids: A Study Based on Structure Scalars
- Role of Tilted Congruence and Gravity on Regular Compact Objects
- Complexity Factor For Static Anisotropic Self-Gravitating Source in Gravity
- Dissipative collapse of axially symmetric, general relativistic, sources: A general framework and some applications
- Structure Scalars In Charged Plane Symmetry
- Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric Gravity
- Influence of Electric Charge and Modified Gravity on Density Irregularities
- Axially symmetric static sources: A general framework and some analytical solutions
- Space-time inhomogeneity, anisotropy and gravitational collapse
- Energy Density Inhomogeneities with Polynomial Cosmology
- A different approach to anisotropic spherical collapse with shear and heat radiation
- Measure of Complexity in Self-Gravitating Systems using Structure Scalars
- The role of shear in dissipative gravitational collapse
- Dynamical Instability of Spherical Anisotropic Sources in Gravity
- Stable Charged Radiating Systems Associated with Tilted Observers
- Effects of Electromagnetic Field on Energy Density Inhomogeneity in Self-Gravitating Fluids
- Analytical solutions for two inhomogeneous cosmological models with energy flow and dynamical curvature
- Gravitational collapse of anisotropic stars
- On the Stability of Pressure Isotropy Condition in Palatini Gravity
- Stability of Relativistic Spheres Powered by Energy Profile in Einstein Gauss-Bonnet Gravity
- What makes a shear-free spherical perfect fluid be inhomogeneous with tidal effects?
- Generating anisotropic models for relativistic stellar objects