Existence of infinitely-many smooth, static, global solutions of the Einstein/Yang-Mills equations (Q1208029)

The authors prove that the Einstein Yang-Mills equations with \(SU(2)\) gauge group admit infinitely many globally defined nonsingular solutions, which are indexed by a coupling constant, have distinct winding numbers and their corresponding Einstein metrics decay at infinity to the flat Minkowski metric. Each solution has a finite (ADM) mass; these masses are not arbitrary constants, but are derived from the solutions.