Magnetic Monopoles in the Einstein-Yang-Mills-Higgs System

Abstract

We study the Yang-Mills-Higgs system within the framework of general relativity. In the static situation, using Bogomol'nyi type analysis, we derive a positive-definite energy functional which has a lower bound. Specializing to the gauge group $SU(2)$ and the t'Hooft-Polyakov ansatz for the gauge and Higgs fields, we seek static, spherically symmetric solutions to the coupled system of equations in both the isotropic and standard coordinate systems. In both cases, in the spontaneously broken symmetry situation, we find great simplications reducing the solutions of the coupled system to the solution of a single non-linear differential equation, different one in each case, but well-known in other contexts of physics. We find abelian and non-abelian monopole solutions with gravitational fields playing the role of Higgs fields in providing attraction that balances the repulsion due to the gauge fields. Numerical solutions indicate the possibility of blackhole horizons inside the monopoles enclosing the singularity at the origin. Such non-abelian monopoles are then the analogs of Reissner-Nordström blackholes with magnetic charge.

25 pages, SU-4240-558 (FIGURES appended as postscript.file)

References in corpus (3)

• Black Holes in Magnetic Monopoles
• Magnetically Charged Black Holes and their Stability
• Non-Abelian Monopoles Coupled to Gravity

Cited by in corpus (11)

• Black hole scalarisation from the breakdown of scale-invariance
• Monopole Solutions in AdS Space
• Effective metrics in the non-minimal Einstein-Yang-Mills-Higgs theory
• Regular and black-hole solutions of the Einstein-Yang-Mills-Higgs equations; the case of nonminimal coupling
• Spinning boson stars and hairy black holes with non-minimal coupling
• Monopoles in non-Abelian Einstein-Born-Infeld Theory
• The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models
• Self-Gravitating Spherical Solutions of the non-minimally coupled non-Abelian Higgs Model
• Bogomolny equations and conformal transformations in curved space
• Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System
• Gravitating magnetic monopole in Vaidya geometry