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

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

2001-09-05

arxiv.org/abs/gr-qc/0109015v2

Phys.Rev. D65 (2002) 044005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

55 pages, 38 Encapsulated PostScript figures; high-resolution figures are available on request

Scientific paper

10.1103/PhysRevD.65.044005

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.

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