Canonical Quantization of the Electromagnetic Field on the Kerr Background

TL;DR

This paper develops a framework for quantizing the electromagnetic field in Kerr spacetime, providing new expressions for stress-energy tensor expectations, physical interpretations, and numerical luminosity calculations.

Contribution

It introduces novel formulas for the electromagnetic stress-energy tensor in Kerr background and analyzes their physical implications and luminosity in various quantum states.

Findings

New expressions for stress-energy tensor expectations

Numerical calculations of luminosity in different vacua

Analysis of stress-energy tensor near the horizon in Boulware state

Abstract

We investigate the canonical quantization of the electromagnetic field on the Kerr background. We give new expressions for the expectation value of the electromagnetic stress-energy tensor in various vacua states and give a physical interpretation of the separate terms appearing in them. We numerically calculate the luminosity in these states. We also study the form of the renormalized stress-energy tensor close to the horizon when the electromagnetic field is in the past Boulware state.