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Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System

A. S. Cornell·G. C. Joshi·J. S. Rozowsky·K. C. Wali
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Abstract

We have studied a modified Yang-Mills-Higgs system coupled to Einstein gravity. The modification of the Einstein-Hilbert action involves a direct coupling of the Higgs field to the scalar curvature. In this modified system we are able to write a Bogomol'nyi type condition in curved space and demonstrate that the positive static energy functional is bounded from below. We then investigate non-Abelian sperically symmetric static solutions in a similar fashion to the `t Hooft-Polyakov monopole. After reviewing previously studied monopole solutions of this type, we extend the formalism to included electric charge and we present dyon solutions.

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A. S. Cornell, G. C. Joshi, J. S. Rozowsky, K. C. Wali. 2002-07-04. Non-Abelian Monopole and Dyon Solutions in a Modified Einstein-Yang-Mills-Higgs System. https://doi.org/10.1103/physrevd.67.105015

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