Shearing Expansion-free Spherical Anisotropic Fluid Evolution

Details Shearing Expansion-free Spherical Anisotropic Fluid Evolution Shearing Expansion-free Spherical Anisotropic Fluid Evolution

2008-10-07

arxiv.org/abs/0810.1083v1

Phys.Rev.D78:084026,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 Latex pages. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.78.084026

Spherically symmetric expansionfree distributions are systematically studied. The whole set of field equations and junction conditions are presented for a general distribution of dissipative anisotropic fluid (principal stresses unequal), and the expansionfree condition is integrated. In order to understand the physical meaning of expansionfree 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 expansionfree evolution. The nondissipative case is considered in detail and the Skripkin model is recovered.

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