SU(2) gauged Skyrme-monopoles in scalar-tensor gravity

TL;DR

This paper investigates monopole solutions in a Skyrme model coupled with scalar-tensor gravity, finding that such couplings do not produce bound multimonopole states, unlike in some other models.

Contribution

It provides a numerical analysis of monopoles in scalar-tensor gravity, showing the absence of bound states in this framework.

Findings

Coupling to gravity or scalar dilaton does not produce bound multimonopole states.

Monopole solutions exist but do not form stable bound configurations in scalar-tensor gravity.

Numerical results confirm the non-existence of bound states in the studied model.

Abstract

Considering a Skyrme model with a peculiar gauging of the symmetry, monopole-like solutions exist through a topological lower bound. However, it was recently shown that these objects cannot form bound states in the limit of vanishing Skyrme coupling. Here we consider these monopoles in scalar-tensor gravity. A numerical study of the equations reveals that neither the coupling to gravity nor to the scalar dilaton nor to dilaton-gravity leads to bound multimonopole states.