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Spherically symmetric perfect fluids in shearfree motion - the symmetry approach
Please always quote using this URN: urn:nbn:de:0297-zib-2253
- In General Relativity, the motion of expanding shearfree perfect fluids is governed by the ordinary differential equation $y^{\prime \prime }=$ $% F(x)\,y^2$ , 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 Painlev\'e analysis is clarified.
Author: | Hans Stephani, Thomas Wolf |
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Document Type: | ZIB-Report |
Date of first Publication: | 1996/05/07 |
Series (Serial Number): | ZIB-Report (SC-96-14) |
ZIB-Reportnumber: | SC-96-14 |
Published in: | Appeared in: Classical & Quantum Gravity 13 (1996) pp. 1261-1271 |