Spherically symmetric Yang-Mills solutions in a (4+n)-dimensional space-time

Journal Article · Fri Oct 15 04:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.084003· OSTI ID:20705473

Brihaye, Yves; Clement, Fabien ^[1]; Hartmann, Betti ^[2]

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1. Faculte des Sciences, Universite de Mons-Hainaut, 7000 Mons (Belgium)
2. School of Engineering and Sciences, International University Bremen (IUB), 28725 Bremen (Germany)

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. If we assume the metric to be diagonal, we find that either n-1 of the gauge potentials associated with the n extra dimensions must vanish or the solutions are embedded abelian solutions. These latter are the Einstein-Maxwell-dilaton solutions in (4+n) dimensions. We 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 nonabelian solutions, which have diverging Higgs fields. In addition, we construct numerically asymptotically flat and finite energy solutions for n=2. If we choose the metric to have off-diagonal components, generic solutions of the full model are possible. We present the numerical solutions for the case n=2.

• OSTI ID: 20705473
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 70; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
HIGGS BOSONS
HIGGS MODEL
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
NUMERICAL SOLUTION
POTENTIALS
SPACE-TIME
TRIPLETS
UNIFIED GAUGE MODELS
YANG-MILLS THEORY