Self-Gravitating Spherical Solutions of the non-minimally coupled non-Abelian Higgs Model

TL;DR

This paper investigates static, spherically symmetric solutions in a non-Abelian Higgs model with non-minimal gravitational coupling, revealing effects on sphalerons and monopoles, and exploring their gravitational interactions with star-like objects.

Contribution

It introduces new self-gravitating solutions in a non-minimally coupled non-Abelian Higgs model and analyzes their properties and potential interactions with astrophysical objects.

Findings

Existence of sphaleron and monopole solutions with non-minimal coupling

Non-minimal coupling influences the properties of these solutions

Potential gravitational interactions with boson stars

Abstract

Motivated by the Higgs Inflation scenario, we study static spherically-symmetric solutions of the non-Abelian Higgs model coupled non-minimally to Gravity. We find solutions for the self-gravitating sphaleron as well as monopole-like solutions and study the impact of the non-minimal coupling on their properties. Finally we discuss shortly the possibility that these solutions interact gravitationally with star-like objects like boson stars.