Solution of the Higgs scalar-tensor theory without Higgs particles for static stars

TL;DR

This paper demonstrates that in a Higgsless scalar-tensor gravity theory, the scalar field vanishes in static stars, leading to Einstein-like gravitational equations, thus simplifying the model of stellar structures.

Contribution

It shows that the excited Higgs potential disappears in static stars within a Higgsless scalar-tensor gravity framework, aligning the field equations with Einstein's theory.

Findings

Scalar field vanishes inside and outside static stars

Field equations reduce to Einsteinian form

Supports Higgsless scalar-tensor gravity models

Abstract

Within the scalar-tensor theory of gravity with Higgs mechanism without Higgs particles, we prove that the excited Higgs potential (the scalar field) vanishs inside and outside of the stellar matter for static spherically symmetric configurations. The field equation for the metric (the tensorial gravitational field) turns out to be essentially the Einsteinian one.