STATIONARY BIANCHI TYPE-II PERFECT FLUID MODELS

Einstein's field equations for stationary Bianchi type II models with a perfect fluid source are investigated. The field equations are rewri tten as a system of autonomous first-order differential equations. Dim ensionless variables are subsequently introduced for which the reduced phase space is compact. The system is then studied qualitatively usin g the theory of dynamical systems. It is shown that the locally rotati onally symmetric models are not asymptotically self-similar for small values of the independent variable. A new exact solution is also given . (C) 1997 American Institute of Physics.