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

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

1997-06-20

arxiv.org/abs/gr-qc/9706064v1

Phys.Rev.D56:6278-6283,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, revtex, no figures

Scientific paper

10.1103/PhysRevD.56.6278

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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