On Quantization of a Slow Rotating Kerr Black Hole

TL;DR

This paper applies Weyl quantization to a slowly rotating Kerr black hole to derive a quantum description of its angular momentum, revealing a discrete spectrum through approximate solutions.

Contribution

It introduces a novel quantum approach to Kerr black hole angular momentum using Weyl quantization and Adomian method for approximate solutions.

Findings

Discovered a discrete spectrum of angular momentum values.

Derived a quantum equation for Kerr black hole angular momentum.

Applied Adomian method for approximate solutions.

Abstract

In this article we calculate the total angular momentum for Kerr space-time for slow rotations. In order to analyze the role of such quantity we apply Weyl quantization method to obtain a quantum equation for the z-component of the angular momentum and for the squared angular momentum as well. We present an approximated solution by means the Adomian method. In such a method we find out a discrete angular momentum.