Rigidly rotating stationary cylindrically symmetric perfect fluid models

Details Rigidly rotating stationary cylindrically symmetric perfect fluid models Rigidly rotating stationary cylindrically symmetric perfect fluid models

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.2931n&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 10, pp. 2931-2945 (1997).

Mathematics

Dynamical Systems

4

Scientific paper

Einstein's field equations for rigidly rotating stationary Bianchi type I models are investigated, focusing on the cylindrically symmetric cases. The equations are rewritten as a first-order system of autonomous ordinary differential equations and dimensionless variables are introduced such that the reduced phase space is compact. The system is then studied qualitatively using the theory of dynamical systems. The cylindrically symmetric submanifold is studied in detail.

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