Spinning-Charged-Hairy Black Holes in 5-d Einstein gravity

TL;DR

This paper constructs and analyzes spinning, charged black holes with scalar hair in five-dimensional Einstein gravity extended by a U(1) gauge symmetry, exploring their properties and existence conditions.

Contribution

It introduces a new class of five-dimensional charged hairy black holes with gauge fields, extending previous models by including electric charge and magnetic moments.

Findings

Black holes possess both electric charge and magnetic moments.

Existence domain depends on the gauge coupling constant.

New solutions extend known hairy black hole configurations.

Abstract

The spinning-hairy black holes that occur in Einstein gravity supplemented by a doublet of complex scalar fields are constructed within an extension of the model by a $U(1)$ gauge symmetry involving a massless vector potential. The hairy black holes then acquire an electric charge and a magnetic moment; their domain of existence is discussed in terms of the gauge coupling constant.