Result: Spherically symmetric solutions of a (4 + n)-dimensional Einstein-Yang-Mills model with cosmological constant

Title:
Spherically symmetric solutions of a (4 + n)-dimensional Einstein-Yang-Mills model with cosmological constant
Authors:
BRIHAYE, Yves, HARTMANN, Betti
Source:
Classical and quantum gravity (Print). 22(1):183-193
Publisher Information:
Bristol: Institute of Physics, 2005.
Publication Year:
2005
Physical Description:
print, 17 ref
Original Material:
INIST-CNRS
Subject Terms:
Theoretical physics, Physique théorique, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Generalites, General, Relativité générale et gravitation, General relativity and gravitation, Relativité générale classique, Classical general relativity, Solutions exactes, Exact solutions, Systèmes autogravitants; milieux continus et champs classiques en espace-temps courbe, Self-graviting systems; continuous media and classical fields in curved spacetime, Espace-temps d'einstein-maxwell, espace-temps avec fluides, rayonnement ou champs classiques, Einstein-maxwell spacetimes, spacetimes with fluids, radiation or classical fields, Physique des particules elementaires et champs, The physics of elementary particles and fields, Théorie générale des champs et particules, General theory of fields and particles, Théorie des champs, Field theory, Théorie des champs en dimensions autres que quatre, Field theories in dimensions other than four, Champ jauge, Gauge field, Campo galgas, Constante cosmologique, Cosmological constant, Coordonnée sphérique, Spherical coordinate, Coordenada esférica, Cosmologie, Cosmology, Equation différentielle, Differential equations, Espace temps, Space-time, Modèle Higgs, Higgs model, Modèle cosmologique, Cosmological models, Singularité nue, Naked singularity, Singularidad desnuda, Solution analytique, Analytical solution, Symétrie sphérique, Spherical symmetry, Simetría esférica, Théorie Yang Mills, Yang-Mills theory, Dilaton
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Faculté des Sciences, Université de Mons-Hainaut, 7000 Mons, Belgium
School of Engineering and Sciences, International University Bremen (IUB), 28725 Bremen, Germany
ISSN:
0264-9381
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=16377770
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Physics of elementary particles and fields

Theoretical physics
Accession Number:
edscal.16377770
Database:
PASCAL Archive

Further Information

We construct solutions of an Einstein-Yang-Mills system including a cosmological constant in 4 + n spacetime 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 field function (corresponding to a Wu-Yang-type ansatz) 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 four-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.