Expansion-Free Cavity Evolution: Some exact Analytical Models

Abstract

We consider spherically symmetric distributions of anisotropic fluids with a central vacuum cavity, evolving under the condition of vanishing expansion scalar. Some analytical solutions are found satisfying Darmois junction conditions on both delimiting boundary surfaces, while some others require the presence of thin shells on either (or both) boundary surfaces. The solutions here obtained model the evolution of the vacuum cavity and the surrounding fluid distribution, emerging after a central explosion. This study complements a previously published work where modeling of the evolution of such kind of systems was achieved through a different kinematical condition.

9 pages, Revtex. Typos corrected. Published in Int. J. Mod. Phys. D

References in corpus (3)

• Shearing Expansion-free Spherical Anisotropic Fluid Evolution
• The importance of anisotropy for relativistic fluids with spherical symmetry
• Cavity evolution in relativistic self-gravitating fluids

Cited by in corpus (15)

• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Dynamical instability and the expansion-free condition
• Influence of Modification of Gravity on the Complexity Factor of Static Spherical Structures
• Influence of $f(R)$ Models on the Existence of Anisotropic Self-Gravitating Systems
• New Definition of Complexity Factor in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• The Measure of Complexity in Charged Celestial Bodies in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• Expansion-free Cylindrically Symmetric Models
• Stability of Anisotropic Cylinder with Zero Expansion
• Shearfree Spherically Symmetric Fluid Models
• Stable Charged Radiating Systems Associated with Tilted Observers
• On Properties of Expansion-free Dynamical Stars
• Non-existence of expansion-free dynamical stars with rotation and spatial twist
• Dynamical model of expansion free dissipative perfect fluids in general relativity