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

Othmar Brodbeck·Markus Heusler
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Abstract

Using the Kaluza-Klein structure of stationary spacetimes, a framework for analyzing stationary perturbations of static Einstein-Yang-Mills configurations with bosonic matter fields is presented. It is shown that the perturbations giving rise to non-vanishing ADM angular momentum are governed by a self-adjoint system of equations for a set of gauge invariant scalar amplitudes. The method is illustrated for SU(2) gauge fields, coupled to a Higgs doublet or a Higgs triplet. It is argued that slowly rotating black holes arise generically in self-gravitating non-Abelian gauge theories with bosonic matter, whereas, in general, soliton solutions do not have rotating counterparts.

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Othmar Brodbeck, Markus Heusler. 1997-06-20. Stationary perturbations and infinitesimal rotations of static Einstein-Yang-Mills configurations with bosonic matter. https://doi.org/10.1103/physrevd.56.6278

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