Physics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992achph..65..767z&link_type=abstract
Helvetica Physica Acta, Vol. 65, No. 6, p. 767 - 819
Physics
17
Scientific paper
The stability of regular and black hole solutions of the SU(2) spherically symmetric Einstein-Yang-Mills system is analyzed in detail. The behavior of linear radial perturbations of the system can be described by a one-dimensional, p-wave Schrödinger equation with a bounded potential. For both regular and black hole solutions, the bound states of this Schrödinger equation correspond to exponentially growing modes. The Bartnik-McKinnon solutions and the non-abelian black holes thus turn out to be unstable. The author also investigates the non-linear evolutions of the perturbed solutions by solving the partial differential equations numerically. It is found that the perturbed system either collapses to a Schwarzschild black hole or explodes, depending on the details of the initial perturbations. The late time behavior of the perturbed solutions is quite universal for a sample of representative perturbations.
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