Static perfect fluid models - a dynamical systems approach
Seminar Room 1, Newton Institute
We present a dynamical systems approach to the analysis of relativistic and Newtonian static perfect fluid solutions. By recasting the field equations into a regular autonomous system of differential equations on a compact state space we are able to apply dynamical systems techniques to study the qualitative features of perfect fluid solutions associated with large classes of equations of state. We also show that the methods generalize to other matter models such as Vlasov matter.