Global solutions, and their decay properties, of the spherically symmetric [formula omitted] — Einstein–Yang–Mills–Higgs equations

Abstract

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.