Gravitating Cho-Maison Monopole

TL;DR

This paper investigates numerical solutions of gravitating electroweak monopoles and black holes within the Einstein-Weinberg-Salam theory, revealing unique features, excited states, and counterexamples to the no-hair conjecture.

Contribution

It provides the first detailed numerical analysis of gravitating electroweak monopoles, including excited states and black hole solutions that challenge existing no-hair conjectures.

Findings

Existence of gravitating electroweak monopoles similar to SU(2) monopoles.

Discovery of radially excited monopole solutions with no flat space counterpart.

Identification of magnetically charged black holes that serve as counterexamples to the no-hair conjecture.

Abstract

We study numerical solutions corresponding to spherically symmetric gravitating electroweak monopole and magnetically charged black holes of the Einstein-Weinberg-Salam theory. The gravitating electroweak monopole solutions are quite identical to the gravitating monopole solution in SU(2) Einsten-Yang-Mills-Higgs theory, but with distinctive characteristics. We also found solutions representing radially excited monopole, which has no counterpart in flat space. Both of these solutions exist up to a maximal gravitational coupling before they cease to exist. Lastly we also report on magnetically charged non-Abelian black holes solutions that is closely related to the regular monopole solutions, which represents counterexample to the `no-hair' conjecture.