THE NUMBER OF SPHALERON INSTABILITIES OF THE BARTNIK-McKINNON SOLITONS AND NON-ABELIAN BLACK HOLES
Abstract
It is proven that there are precisely n odd-parity sphaleron-like unstable modes of the n-th Bartnik-McKinnon soliton and the n-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group SU(2).
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