Magnetic charge, angular momentum and negative cosmological constant
J.J. van der Bij, Eugen Radu (Faculty of Physics,, Albert-Ludwigs-University, Freiburg, Germany)
TL;DR
This paper shows that in flat spacetime, rotating monopole solutions do not exist, but in anti-de Sitter space, nonrotating solutions with magnetic and electric charges can be constructed, expanding understanding of Yang-Mills-Higgs configurations.
Contribution
It demonstrates the absence of rotating monopole solutions in flat spacetime and constructs nonrotating solutions with electric and magnetic charges in anti-de Sitter space.
Findings
No axially symmetric rotating monopoles in flat spacetime.
Existence of nonrotating, charged solutions in anti-de Sitter space.
Solutions carry magnetic charge n and electric charge.
Abstract
We argue that there are no axially symmetric rotating monopole solutions for a Yang-Mills-Higgs theory in flat spacetime background. We construct axially symmetric Yang-Mills-Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge and a nonvanishing electric charge. However, these solution are also nonrotating.
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