Wormhole solutions in the Einstein-Yang-Mills-Higgs system: Solution of first order equations for \(G=SU(2)\)
type: Item
instance of: scholarly article
title: Wormhole solutions in the Einstein-Yang-Mills-Higgs system: Solution of first order equations for \(G=SU(2)\)
zbMATH Open document ID: 0613.53050
DOI: 10.1007/BF00766280
author: F. Degen
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: For an SU(2) Einstein-Yang-Mills-Higgs model we study the extreme wormhole solutions. We use an iterative method based on expansion in the radial distance N from the boundary of the hole. Here we present the nontrivial solutions of the first-order equations. They give useful information about existing extremal wormholes. Especially we note that although the zero-order solution which we use is abelian, this is not the case for all solutions of first-order equations. The method employed in solving these equations is to expand all first-order fields in the appropriate generalized harmonics. We find a non-abelian solution if the value of the Higgs scalar at the horizon is equal to the Planck mass and if the magnetic charge b and the electric charge e of the hole satisfy \(b=1/e\).
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 83C47
zbMATH DE Number: 3992386
zbMATH Keywords: black hole
zbMATH Keywords: Einstein-Yang-Mills-Higgs model
zbMATH Keywords: wormhole solutions
zbMATH Keywords: generalized harmonics
zbMATH Keywords: magnetic charge
zbMATH Keywords: electric charge
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3992386