Critical behavior of gravitating sphalerons

We examine the gravitational collapse of sphaleron type configurations in the Einstein-Yang-Mills-Higgs theory. Working in spherical symmetry, we investigate the critical behavior in this model. We provide evidence that for various initial configurations, there can be three different critical transitions between possible end states with different critical solutions sitting on the threshold between these outcomes. In addition, we show that within the dispersive and black hole regimes there are new possible end states: namely, a stable, regular sphaleron and a stable, hairy black hole.