Hairy dyonic Reissner-Nordstr\"om black holes in an Einstein-Maxwell-Friedberg-Lee-Sirlin type model

TL;DR

This paper constructs and analyzes spherically symmetric dyonic black holes with scalar hair in a generalized Einstein-Maxwell model, revealing bifurcations from Reissner-Nordström solutions and connections to Penney solutions.

Contribution

It introduces a new class of hairy dyonic black holes in a generalized scalar-electromagnetic-gravity model and explores their properties and existence conditions.

Findings

Hairy dyonic black holes bifurcate from Reissner-Nordström black holes at maximal chemical potential.

Limiting solutions at minimal chemical potential relate to Penney solutions.

The model's parameters influence the domain of existence for these black holes.

Abstract

We construct spherically symmetric dyonic black holes in a generalized Maxwell-Friedberg-Lee-Sirlin type model with a complex scalar doublet and a symmetry breaking potential {for the real scalar field}, minimally coupled to Einstein gravity in asymptotically flat space. We analyze the properties of the hairy black holes and determine their domain of existence. Our discussion focuses mostly on the case of a long-ranged massless real scalar field. Our results indicate that in this case, depending on the coupling constants, the resonant hairy dyonic black holes may bifurcate from Reissner-Nordstr\"om black holes at maximal chemical potential, while the limiting solutions at minimal chemical potential may be related to the Penney solution.