Kerr-Newman black holes with stationary charged scalar clouds

TL;DR

This paper analytically demonstrates that Kerr-Newman black holes can support stationary charged scalar fields, deriving a formula for their bound-state resonances, which advances understanding of black hole scalar field interactions.

Contribution

The study provides the first analytical solution describing stationary charged scalar fields around Kerr-Newman black holes, revealing new bound-state resonance properties.

Findings

Analytical formula for scalar field resonances

Kerr-Newman black holes support charged scalar clouds

Bound-state properties depend on black hole parameters

Abstract

It is shown that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. To that end, we solve analytically the Klein-Gordon wave equation for a stationary charged massive scalar field in the background of a near-extremal Kerr-Newman black hole. In particular, we derive a simple analytical formula which describes the physical properties of these stationary bound-state resonances of the charged massive scalar fields in the Kerr-Newman black-hole spacetime.