Othmar Brodbeck

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 solition and the n-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group SU(2).It is proven that there are precisely

A generalized Birkhoff theorem for the Einstein–Yang–Mills system

n

Rotating Solitons and Nonrotating, Nonstatic Black Holes

odd-parity sphaleron-like unstable modes of the

Instability proof for Einstein–Yang–Mills solitons and black holes with arbitrary gauge groups

n

Instability of Einstein-Yang-Mills solitons for arbitrary gauge groups

-th Bartnik-McKinnon soliton and the

Instability of gravitating sphalerons

n

Self-adjoint wave equations for dynamical perturbations of self-gravitating fields

-th non-abelian black hole solution of the Einstein-Yang-Mills theory for the gauge group

Generalization of the regge-wheeler equation for self-gravitating matter fields

SU(2)

Stationary perturbations and infinitesimal rotations of static Einstein-Yang-Mills configurations with bosonic matter

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Self‐gravitating Yang–Mills solitons and their Chern–Simons numbers

Some results of a systematic study of the coupled Einstein–Yang–Mills (EYM) equations for arbitrary gauge groups are presented herein. In a first step a group theoretical analysis of spherically symmetric EYM fields is given. This will lead to a concise description of a large class of principal bundles for which the spherically symmetric solutions of the EYM equations have to be static (generalized Birkhoff theorem) and the metric must be of the Reissner–Nordstro/m‐type.