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Spherically symmetric perfect fluid solutions in isotropic coordinates. (English) Zbl 0594.76126

Summary: A method of generating solutions of Einstein’s field equations for static fluid spheres is presented. This new method has a very clear advantage since it bypasses the direct resolutions of the field equations. One of the solutions obtained is then studied in some detail; it verifies an equation of state of the form \(p\simeq \alpha \rho +\beta \rho^{1+1/n}\).

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
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