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

TL;DR

This paper explores particle-like and black hole solutions in higher-dimensional de Sitter spacetime within the Einstein-Yang-Mills framework, revealing divergence issues and proposing higher order gauge terms to obtain finite mass solutions.

Contribution

It introduces higher order gauge field terms to achieve finite mass solutions in higher-dimensional Einstein-Yang-Mills systems with positive cosmological constant.

Findings

Mass diverges for d>4 in standard Yang-Mills solutions.

Adding higher order gauge terms yields finite mass solutions.

Differences between these solutions and four-dimensional cases are discussed.

Abstract

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.