TY - JOUR

T1 - On the number of instabilities of cosmological solutions in an Einstein-Yang-Mills system

AU - Forgács, Péter

AU - Reuillon, Sébastien

PY - 2003/8/28

Y1 - 2003/8/28

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2003.06.061

DO - 10.1016/j.physletb.2003.06.061

M3 - Article

AN - SCOPUS:0041967167

VL - 568

SP - 291

EP - 297

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -