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Phys. Rev. D 65, 044005 (2002) [17 pages]

Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: The regular case

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Eugen Radu
Albert-Ludwigs-Universität, Fakultät für Physik, Hermann-Herder-Straße 3, Freiburg D-79104, Germany

Received 21 August 2001; published 11 January 2002

Numerical solutions of the Einstein-Yang-Mills equations with a negative cosmological constant are constructed. These axially symmetric solutions approach asymptotically the anti–de Sitter spacetime and are regular everywhere. They are characterized by the winding number n>1, the mass, and the non-Abelian magnetic charge. The main properties of the solutions and the differences with respect to the asymptotically flat case are discussed. The existence of axially symmetric monopole and dyon solutions in fixed anti–de Sitter spacetime is also discussed.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.044005
DOI:
10.1103/PhysRevD.65.044005
PACS:
04.20.Jb, 11.15.Kc, 14.80.Hv