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

Abstract

We consider particlelike and black hole 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 of the usual Yang-Mills model, both in four and higher dimensions, is presented.