2003/06/30 by Péter Forgács, Sébastien Reuillon · 1 citation
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmological constant #Cosmology and Gravitation Theories #Einstein #Mathematical physics #Parity (physics) #Physics #Quantum mechanics #Stability (learning theory) #Theoretical physics #Yang–Mills existence and mass gap #hep-th
paper · pdf · doi:10.1016/j.physletb.2003.06.061
published as Phys.Lett.B568:291-297,2003 · minor corrections,to appear in Physics Letters B
arxiv created 2003/07/08 · openalex publication_date 2003/07/22 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/05
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 Λ 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.