An analytical proof of the existence of negative modes in the odd--parity perturbation sector is given for all known non-abelian Einstein--Yang--Mills black holes. The significance of the normalizability condition in the functional stability analysis is emphasized. The role of the odd--parity negative modes in the sphaleron interpretation of the Bartnik--McKinnon solutions is discussed.
@article{arxiv.hep-th/9409041,
title = {Odd-Parity Negative Modes of Einstein-Yang-Mills Black Holes and Sphalerons},
author = {Mikhail S. Volkov and Dmitri D. Gal'tsov},
journal= {arXiv preprint arXiv:hep-th/9409041},
year = {2014}
}
Comments
(minor typographical errors fixed, to appear in Phys.Lett.B)