On rotating regular nonabelian solutions
J.J. van der Bij, Eugen Radu (Faculty of Physics,, Albert-Ludwigs-University, Freiburg, Germany)
TL;DR
This paper derives a general relation for the angular momentum of regular Einstein-Yang-Mills-Higgs solutions, discusses specific rotating configurations, and conjectures the nonexistence of rotating regular solitons with net magnetic charge.
Contribution
It introduces a general formula for angular momentum in Einstein-Yang-Mills-Higgs systems and explores rotating solutions, including dyons and magnetic dipoles, proposing a new conjecture.
Findings
Derived a relation for total angular momentum in these systems
Analyzed rotating dyons and magnetic dipoles as examples
Conjectured no rotating regular solitons with net magnetic charge
Abstract
A general relation for the total angular momentum of a regular solution of the Einstein-Yang-Mills-Higgs equations is derived. Two different physical configurations, rotating dyons and rotating magnetic dipoles are discussed as particular cases. The issue of rotating pure Einstein-Yang-Mills regular solutions is addressed as well. Based on the results, we conjecture the absence of rotating regular solitons with a net magnetic charge.
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