Spherically symmetric perfect fluids in shear-free motion - the symmetry approach

Computer Science

Scientific paper

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Scientific paper

In general relativity, the motion of expanding shear-free perfect fluids is governed by the ordinary differential equation 0264-9381/13/5/035/img5, where F is an arbitrary function from which the equation of state can be computed. A complete symmetry analysis of this differential equation is given; its solutions are classified according to this scheme, and in particular the relation to Wyman's Painlevé analysis is clarified.

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