Cosmological monopoles and non-abelian black holes

TL;DR

This paper explores magnetic monopole solutions in Einstein-Yang-Mills-Higgs theory with a positive cosmological constant, analyzing their properties, mass, and charges in de Sitter spacetime, including black hole configurations.

Contribution

It presents new monopole solutions with finite mass in de Sitter space and examines their global charges, including solutions with non-integer charge in a Higgs field truncation.

Findings

Finite mass solutions exist within the cosmological horizon.

Solutions with non-integer charge are found in a Higgs field truncation.

Mass evaluated outside the horizon diverges at early/late times.

Abstract

We discuss magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations with a positive cosmological constant. These configurations approach asymptotically the de Sitter spacetime background and exist only for a nonzero Higgs potential. We find that the total mass of the solutions within the cosmological horizon is finite. However, their mass evaluated by using the surface counterterm method outside the cosmological horizon at early/late time infinity generically diverges. Magnetic monopole solutions with finite mass and noninteger charge are found however in a truncation of the theory with a vanishing Higgs field. Both solutions with a regular origin and cosmological black holes are studied, special attention being paid to the computation of the global charges.