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Perturbation theory for self-gravitating gauge fields: The odd-parity sector
A gauge- and coordinate-invariant perturbation theory for self-gravitating non-Abelian gauge fields with the gauge group SU(2) is developed and used to analyze local uniqueness and linear stability properties of non-Abelian equilibrium configurations. It is shown that all admissible stationary odd-parity excitations of the static and spherically symmetric Einstein-Yang-Mills soliton and …