Regular solutions to higher order curvature Einstein--Yang-Mills systems   in higher dimensions
  We study regular, static, spherically symmetric solutions of Yang-Mills theories employing higher order invariants of the field strength coupled to gravity in $d$ dimensions. We consider models with only two such invariants characterised by integers $p$ and $q$. These models depend on one dimensionless parameter $\alpha$ leading to one-parameter families of regular solutions, obtainable by numerical solution of the corresponding boundary value problem. Much emphasis is put on an analytical understanding of the numerical results. 
Peter Breitenlohner (1), Dieter Maison (1), D. H. Tchrakian (2) ((1)   Max-Planck-Institut fuer Physik, Munich, Germany, (2)...