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Gravitating SU(N) monopoles from harmonic maps

Yves Brihaye1, Betti Hartmann2, Theodora Ioannidou3 and Wojtek Zakrzewski4

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Spherically symmetric solutions of the SU(N) Einstein–Yang–Mills–Higgs system are constructed using the harmonic map ansatz. This way the problem reduces to solving a set of ordinary differential equations for the appropriate profile functions. In the SU(2) case, we recover the equations studied in great detail previously, while in the SU(N) (N > 2) one we find new solutions which correspond to monopole–antimonopole configurations.


PACS

11.30.Ly Other internal and higher symmetries

02.30.Hq Ordinary differential equations

14.80.Hv Magnetic monopoles

MSC

34A34 Nonlinear equations and systems, general

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Mathematical physics

Particle physics and field theory

Dates

Issue 2 (21 January 2004)

Received 9 October 2003

Published 10 December 2003



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