Axially symmetric Proca-Higgs boson stars

TL;DR

This paper introduces axially symmetric, gravitating Proca-Higgs boson stars, which are stable, asymptotically flat solutions combining Higgs scalar and Proca vector fields, characterized by specific mass and size scales.

Contribution

It presents the first static, regular, axially symmetric solutions of coupled Higgs and Proca fields, expanding the understanding of boson star configurations with vector and scalar field interactions.

Findings

Existence of asymptotically flat, axially symmetric Proca-Higgs boson stars.

Configurations have mass and size scales related to Planck mass and inverse Proca mass.

The system exhibits an axially symmetric dipole field, acting as a Proca dipole.

Abstract

We consider strongly gravitating configurations consisting of coupled real Higgs scalar field and vector (Proca) field of mass $\mu_P$. For such a system, we find static regular axially symmetric solutions describing asymptotically flat configurations which may be referred to as Proca-Higgs miniboson stars, since their total mass and spatial dimension are of order $M_{\text{Pl}}^2/\mu_P$ and $\mu_P^{-1}$, respectively.The system possesses an axially symmetric dipole field and may be regarded as a Proca dipole.