A detailed numerical stability analysis of the static, spherically symmetric globally regular solutions of the Einstein-Yang-Mills equations with a positive cosmological constant, λ, is carried out. It is found that the number of unstable modes in the even parity sector is n for solutions with n = 1, 2 nodes as A varies. The solution with n = 3 nodes exhibits a rather surprising behaviour in that the number of its unstable modes jumps from 3 to 1 as λ crosses (from below) a critical value. In particular the topologically 3-sphere type solution with n = 3 nodes has only a single unstable mode.
|Number of pages||7|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - Aug 28 2003|
ASJC Scopus subject areas
- Nuclear and High Energy Physics