Horizon-less Spherically Symmetric Vacuum-Solutions in a Higgs Scalar-Tensor Theory of Gravity

TL;DR

This paper derives exact static, spherically symmetric vacuum solutions in a Higgs Scalar-Tensor theory of gravity, revealing the absence of horizons and the presence of naked singularities, with consistency to GR in the limit of no Higgs excitation.

Contribution

It provides new exact solutions in Higgs Scalar-Tensor gravity showing deviations from Schwarzschild black holes, especially the lack of horizons and the presence of naked singularities.

Findings

No Schwarzschild horizon generally exists in these solutions.

Solutions exhibit naked singularities at the center.

GR Schwarzschild solution recovered when Higgs field excitations vanish.

Abstract

The exact static and spherically symmetric solutions of the vacuum field equations for a Higgs Scalar-Tensor theory (HSTT) are derived in Schwarzschild coordinates. It is shown that in general there exists no Schwarzschild horizon and that the fields are only singular (as naked singularity) at the center (i.e. for the case of a pont-particle). However, the Schwarzschild solution as in usual general relativity (GR) is obtained for the vanishing limit of Higgs field excitations.