Global solutions, and their decay properties, of the spherically symmetric su(2) - Einstein-Yang-Mills-Higgs equations

摘要

We generalize, to the su(2) - Einstein-Yang-Mills-Higgs system, previous results concerning global solutions of the Einstein-scalar field and the Einstein-Maxwell-Higgs equations. The novelty of the present work is at least twofold. For one thing the assumption on the self-interaction potential is improved. For another thing explanation is furnished why the solutions obtained here decay slower than those of self-gravitating massless scalar fields. Actually this latter phenomenon stems from the non-vanishing of the local charge.