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

Yves Brihaye·Eugen Radu·D. H. Tchrakian
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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.

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Yves Brihaye, Eugen Radu, D. H. Tchrakian. 2006-12-07. Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime. https://doi.org/10.1103/physrevd.75.024022

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