Shearing expansion-free spherical anisotropic fluid evolution

2008/10/07 by L. Herrera, N. O. Santos, A. Wang +1 · 2 citations
Engineering · Physics and Astronomy · #Elasticity and Material Modeling #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.78.084026

published as Phys.Rev.D78:084026,2008 · 24 Latex pages. To appear in Phys. Rev. D

arxiv created 2008/10/07 · openalex publication_date 2008/10/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Spherically symmetric expansion-free distributions are systematically studied. The entire set of field equations and junction conditions are presented for a general distribution of dissipative anisotropic fluid (principal stresses unequal), and the expansion-free condition is integrated. In order to understand the physical meaning of expansion-free motion, two different definitions for the radial velocity of a fluid element are discussed. It is shown that the appearance of a cavity is inevitable in the expansion-free evolution. The nondissipative case is considered in detail, and the Skripkin model is recovered.

Citations

• Nonlinear shear‐free radiative collapse
• A causal model of radiating stellar collapse
• Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
• A Riccati equation in radiative stellar collapse
• On Continued Gravitational Contraction

Cited by

• Killing vectors and anisotropy
• Dissipative collapse of axially symmetric, general relativistic sources: A general framework and some applications