Shepherd, B.L. and Winstanley, E. orcid.org/0000-0001-8964-8142 Dyons and dyonic black holes in ${\mathfrak {su}}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space-time. Phys. Rev. D, 93. 064064. ISSN 1550-7998 (Submitted)
Abstract
We present new spherically symmetric, dyonic soliton and black hole solutions of the ${\mathfrak {su}}(N)$ Einstein-Yang-Mills equations in four-dimensional asymptotically anti-de Sitter space-time. The gauge field has nontrivial electric and magnetic components and is described by $N-1$ magnetic gauge field functions and $N-1$ electric gauge field functions. We explore the phase space of solutions in detail for ${\mathfrak {su}}(2)$ and ${\mathfrak {su}}(3)$ gauge groups. Combinations of the electric gauge field functions are monotonic and have no zeros; in general the magnetic gauge field functions may have zeros. The phase space of solutions is extremely rich, and we find solutions in which the magnetic gauge field functions have more than fifty zeros. Of particular interest are solutions for which the magnetic gauge field functions have no zeros, which exist when the negative cosmological constant has sufficiently large magnitude. We conjecture that at least some of these nodeless solutions may be stable under linear, spherically symmetric, perturbations.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 American Physical Society. This is an author-produced version of a paper accepted for publication in Physical Review D. Uploaded in accordance with the publisher's self-archiving policy |
Keywords: | gr-qc; gr-qc |
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number SCIENCE AND TECHNOLOGY FACILITIES COUNCIL ST/L000520/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 21 Apr 2016 11:21 |
Last Modified: | 21 Mar 2018 22:41 |
Published Version: | http://dx.doi.org/10.1103/PhysRevD.93.064064 |
Status: | Submitted |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevD.93.064064 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98078 |