Static Cosmological Solutions of the Einstein-Yang-Mills-Higgs Equations

TL;DR

This paper presents numerical evidence for a new family of static, globally regular solutions to the Einstein-Yang-Mills-Higgs equations, characterized by specific node numbers and featuring static spacetimes with compact spatial sections.

Contribution

It introduces a novel family of solutions with specific topological and field properties, expanding understanding of Einstein-Yang-Mills-Higgs configurations.

Findings

Existence of new static solutions with spherical symmetry.

Solutions characterized by two natural numbers (m, n).

Spacetimes have compact spatial sections with 3-sphere topology.

Abstract

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmological' solutions of the spherically symmetric Einstein-Yang-Mills-Higgs equations. These solutions are characterized by two natural numbers ($m\geq 1$, $n\geq 0$), 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.