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Research PapersNo Access

EVOLVING SPHERES OF SHEAR-FREE ANISOTROPIC FLUID

B. V. IVANOV

Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Science, Tzarigradsko Shausse 72, Sofia 1784, Bulgaria

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https://doi.org/10.1142/S0217751X10050202Cited by:18 (Source: Crossref)

Abstract

The fluid models mentioned in the title are studied in a modified approach, based on two formulas for the mass function. All characteristics of the fluid are expressed through a master potential, satisfying an ordinary second-order differential equation. Different constraints are imposed on this core of relations, finding new solutions and deriving the classical results for perfect fluids as particular cases. All charged anisotropic solutions, all conformally flat and all uniform density solutions are found. A large class of solutions with linear equation among the two pressures is derived, including the case of vanishing tangential pressure. The mechanism responsible for the appearance of equation of state is elucidated.

Keywords:

PACS: 04.20.Jb, 04.40.Nr

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Vol. 25, No. 20

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Received 18 May 2010

Keywords