Quantum-Mechanical Scattering of Charged Black Holes

TL;DR

This paper develops a quantum mechanical framework for analyzing the scattering of charged black holes, providing new computational methods for capture cross sections and insights into gravitational degrees of freedom.

Contribution

It introduces a canonical quantization approach on the parameter space of static black hole solutions, enabling analysis of black hole scattering.

Findings

Computed capture cross sections for charged black hole scattering

Established a link between parameter space quantization and gravitational degrees of freedom

Provided a new method for quantum analysis of black hole interactions

Abstract

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we compute the capture cross sections for the scattering of two black holes. Finally, we discuss how quantization on this parameter space relates to quantization of the degrees of freedom of the gravitational field.