Exact solutions for nonstatic perfect fluid spheres with shear and an equation of state

Physics

Scientific paper

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Equations Of State, Gravitation Theory, Ideal Fluids, Relativity, Shear Flow, Einstein Equations, Pressure Dependence, Space-Time Functions

Scientific paper

It is shown that fairly general assumptions about the relevant physical and mathematical quantities in the study of nonstatic and spherically symmetric perfect fluid configurations usually single out the Friedmann-Lemaitre solutions as the only physically plausible ones. In addition three new classes of exact solutions having shear and acceleration are presented, as well as a generalization of Wesson's stiff fluid solution.

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