Magnetic monopole solutions in a modified Einstein-Yang-Mills-Higgs system

Journal Article · Tue Feb 14 23:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.1664· OSTI ID:6565408

Ai Viet, N; Wali, K C ^[1]

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1. Physics Department, Syracuse University, Syracuse, New York 13244 (United States)

We study the Yang-Mills-Higgs system within the framework of general relativity with an unconventional coupling of the scalar field to gravity. In the static situation, using a Bogomol'nyi-type analysis, we derive a positive-definite energy functional with a lower bound that is attained when the Bogomolnyi conditions are satisfied. 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 together with Bogomol'nyi conditions. In both the isotropic and standard coordinate systems, in the spontaneously broken symmetry situation, we find great simplifications reducing the solutions of the coupled system to the solution of a single nonlinear 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 gague fields. These solutions in general have naked singularities at the origin. But as solutions we also find extreme Reissner-Nordstroem black holes as well as a new non-Abelian monopole solution that has a horizon enclosing the singularity.

• DOE Contract Number: FG02-85ER40231
• OSTI ID: 6565408
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 51:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

661310* -- Relativity & Gravitation-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662440 -- Properties of Other Particles Including Hypothetical Particles-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CONFIGURATION
COUPLING
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
HIGGS BOSONS
HIGGS MODEL
LIE GROUPS
MAGNETIC MONOPOLES
MATHEMATICAL MODELS
MONOPOLES
NONLINEAR PROBLEMS
PARTICLE MODELS
POSTULATED PARTICLES
SCALAR FIELDS
SINGULARITY
SPHERICAL CONFIGURATION
SU GROUPS
SU-2 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
YANG-MILLS THEORY