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Shearing Expansion-free Spherical Anisotropic Fluid Evolution

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arxiv 0810.1083 v1 pith:FRV63SYK submitted 2008-10-07 gr-qc astro-ph

Shearing Expansion-free Spherical Anisotropic Fluid Evolution

classification gr-qc astro-ph
keywords expansionfreefluidanisotropicevolutionappearancecasecavitycondition
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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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