Peter Breitenlohner et al 2004 Class. Quantum Grav. 21 1667 doi:10.1088/0264-9381/21/6/023
Peter Breitenlohner1, Dieter Maison1 and George Lavrelashvili2
Show affiliationsStatic, spherically symmetric solutions with regular origin are investigated of the Einstein–Yang–Mills theory with a negative cosmological constant Λ. A combination of numerical and analytical methods leads to a clear picture of the 'moduli space' of the solutions. Some issues discussed in the existing literature on the subject are reconsidered and clarified. In particular the stability of the asymptotically AdS solutions is studied. Like for the Bartnik–McKinnon (BK) solutions obtained for Λ = 0 there are two different types of instabilities—'topological' and 'gravitational'. Regions with any number of these instabilities are identified in the moduli space. While for BK solutions there is always a non-vanishing equal number of instabilities of both types, this degeneracy is lifted and there exist stable solutions, genuine sphalerons with exactly one unstable mode and so on. The boundaries of these regions are determined.
37K40 Soliton theory, asymptotic behavior of solutions
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
Issue 6 (21 March 2004)
Received 21 October 2003
Published 2 March 2004
Peter Breitenlohner et al 2004 Class. Quantum Grav. 21 1667
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