Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime

We consider particle-like and black holes solutions of the Einstein-Yang-Mills system with positive cosmological constant in d > 4 spacetime dimensions. These configurations are spherically symmetric and present a cosmological horizon for a finite value of the radial coordinate, approaching asymptotically the de Sitter background. In the usual Yang–Mills case we find that the mass of these solutions, evaluated outside the cosmological horizon at future/past infinity generically diverges for d > 4. Solutions with finite mass are found by adding to the action higher order gauge field terms belonging to the Yang–Mills hierarchy. A discussion of the main properties of these solutions and their differences from those to the usual Yang–Mills model, both in four and higher dimensions is presented.