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Spherically symmetric Yang-Mills solutions in a (4+n)- dimensional space-time | | Yves Brihaye
; Fabien Clement
; Betti Hartmann
; | | Date: |
3 Mar 2004 | | Journal: | Phys.Rev. D70 (2004) 084003 | | Subject: | hep-th gr-qc | | Affiliation: | University of Mons-Hainaut, Belgium) and Betti Hartmann (IUB, Germany | | Abstract: | We consider the Einstein-Yang-Mills Lagrangian in a (4+n)-dimensional space-time. 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 exist. We construct the analytic solutions which fulfill this conditions for arbitrary n, namely the Einstein-Maxwell-dilaton solutions. We also present generic solutions of the effective 4-dimensional Einstein-Yang-Mills-Higgs-dilaton model, which possesses n Higgs triplets coupled in a specific way to n independent dilaton fields. These solutions are the abelian Einstein-Maxwell- dilaton solutions and analytic non-abelian solutions, which have diverging Higgs fields. In addition, we construct numerically asymptotically flat and finite energy solutions for n=2. | | Source: | arXiv, hep-th/0403041 | | Services: | Forum | Review | PDF | Favorites | |
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