Black Hole Menagerie, Charged/Dyonic BHs and Radiation from Interacting Dyonic BH Pairs

TL;DR

This paper explores charged and dyonic black holes, their interactions, and radiation emissions, combining theoretical models and classical equations to analyze energy extraction, quantization conditions, and wave luminosities.

Contribution

It introduces a detailed analysis of dyon-dyon interactions, deriving classical equations, quantization conditions, and radiation expressions for astrophysical black holes with electric and magnetic charges.

Findings

Derived the Schwinger-Zwanziger quantization condition for dyons.

Established a scalar virial theorem for charged particle systems.

Calculated electromagnetic and gravitational wave amplitudes and luminosities.

Abstract

We describe charged BHs, Penrose process for energy extraction from Kerr BHs and Wald's proposal concerning a Kerr BH slowly becoming a Kerr-Newman BH in the presence of a uniform magnetic field. In the context of BHs bearing magnetic charge, we discuss both magnetic monopoles as well as dyons, and their emergence from various models like string theory, GUTs and electroweak theories, etc. In the later portions, we concentrate on our recent research work pertaining to the non-relativistic dynamics of dyon-dyon interaction that includes mutual gravitational attraction. From the derived classical equations of motion, we obtain not only the well known Schwinger-Zwanziger quantization condition for dyons using Saha's argument based on quantized angular momentum of electromagnetic field but also a scalar virial theorem for an astrophysical system consisting of point particles, some of which carry both electric and magnetic charges. In the final sections, we obtain expressions for the generated electromagnetic wave as well as gravitational wave amplitudes, and the corresponding luminosities due to dyon-dyon interactions. Lastly, we discuss the results after computing these quantities using a range of values for the mass, electric and magnetic charges, etc. of the dyonic BHs.