Static cosmological solutions of the Einstein–Yang–Mills–Higgs equations

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmologicalʹ solutions of the spherically symmetric Einstein–Yang–Mills–Higgs equations. These solutions are characterized by two natural numbers (m≥1, n≥0), the number of nodes of the Yang–Mills and Higgs field respectively. The corresponding spacetimes are static with spatially compact sections with 3-sphere topology.