Classification of Static, Spherically Symmetric Solutions of the   Einstein-Yang-Mills Theory with Positive Cosmological Constant
  We give a complete classification of all static, spherically symmetric solutions of the SU(2) Einstein-Yang-Mills theory with a positive cosmological constant. Our classification proceeds in two steps. We first extend solutions of the radial field equations to their maximal interval of existence. In a second step we determine the Carter-Penrose diagrams of all 4-dimensional space-times constructible from such radial pieces. Based on numerical studies we sketch a complete phase space picture of all solutions with a regular origin. 
Peter Breitenlohner (1), Peter Forgacs (2), Dieter Maison (1) ((1)   Max-Planck-Institut fuer Physik, Munich, Germany, (2) L...