We present a numerical classification of the spherically symmetric, static solutions to the Einsteinâ€“Yangâ€“Mills equations with cosmological constant Î›. We find three qualitatively different classesâ€¦ (More)

We analyze the stability properties of the purely magnetic, static solutions to the Einsteinâ€“ Yangâ€“Mills equations with cosmological constant. It is shown that all three classes of solutions found inâ€¦ (More)

The pulsation equations for spherically symmetric black hole and soliton solutions are brought into a standard form. The formulae apply to a large class of field theoretical matter models and canâ€¦ (More)

We prove the instability of the gravitating regular sphaleron solutions of the SU(2) Einstein-Yang-Mills-Higgs system with a Higgs doublet, by studying the frequency spectrum of a class of radialâ€¦ (More)

It is shown that the dynamical evolution of perturbations on a static spacetime is governed by a standard pulsation equation for the extrinsic curvature tensor. The centerpiece of the pulsationâ€¦ (More)