Resumen de Self-gravitating stationary spherically symmetric systems in relativistic galactic dynamics

Mikael Fjällborg, J. Mark Heinzle, Claes Uggla

• We study equilibrium states in relativistic galactic dynamics which are described by stationary solutions of the Einstein-Vlasov system for collisionless matter. We recast the equations into a regular three-dimensional system of autonomous first order ordinary differential equations on a bounded state space. Based on a dynamical systems analysis we derive new theorems that guarantee that the steady state solutions have finite radii and masses.