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Spherically symmetric solutions of a (4+n)-dimensional Einstein-Yang-Mills model with cosmological constant | | Yves Brihaye
; Betti Hartmann
; | | Date: |
31 Mar 2004 | | Journal: | Class.Quant.Grav. 22 (2005) 183-194 | | Subject: | hep-th | | Affiliation: | Universite de Mons, Belgium) and Betti Hartmann (IUB, Germany | | Abstract: | We construct solutions of an Einstein-Yang-Mills system including a cosmological constant in 4+n space-time dimensions, where the n-dimensional manifold associated with the extra dimensions is taken to be Ricci flat. Assuming the matter and metric fields to be independent of the n extra coordinates, a spherical symmetric Ansatz for the fields leads to a set of coupled ordinary differential equations. We find that for n > 1 only solutions with either one non-zero Higgs field or with all Higgs fields constant and zero gauge fields exist. We give the analytic solutions available in this model. These are ``embedded’’ abelian solutions with a diverging size of the manifold associated with the extra n dimensions. Depending on the choice of parameters, these latter solutions either represent naked singularities or they possess a single horizon. We also present solutions of the effective 4-dimensional Einstein-Yang-Mills-Higgs-dilaton model, where the higher dimensional cosmological constant induces a Liouville-type potential. The solutions are non-abelian solutions with diverging Higgs fields, which exist only up to a maximal value of the cosmological constant. | | Source: | arXiv, hep-th/0403296 | | Services: | Forum | Review | PDF | Favorites | |
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