Negative modes around Einstein-Yang-Mills sphalerons and black holes
Abstract
The dynamics of small perturbations around sphaleron and black hole solutions in the Einstein-Yang-Mills theory for the gauge group is investigated. The perturbations can be split into the two independent sectors in accordance with their parity; each sector contains negative modes. The even-parity negative modes are shown to correspond to the negative second variations of the height of the potential energy barrier near the sphaleron. For the odd-parity sector, the existence of precisely (the number of nodes of the sphaleron solution gauge field function) negative modes is rigorously proven. The same results hold for the Einstein-Yang-Mills black holes as well.
Cite
@article{arxiv.hep-th/9609201,
title = {Negative modes around Einstein-Yang-Mills sphalerons and black holes},
author = {Mikhail S. Volkov},
journal= {arXiv preprint arXiv:hep-th/9609201},
year = {2007}
}
Comments
19 pp, LaTeX, epsf, 2 postscript figures, Published in "Geometry and Integrable Models", Eds. P.N. Pyatov \& S.N.Solodukhin, World Scientific 1996, pp. 55-77