Charged particles' tunnelling from the Kerr-Newman black hole

TL;DR

This paper extends the Parikh-Wilczek tunnelling framework to charged particles emitted from Kerr-Newman black holes, showing the emission spectrum aligns with unitarity and preserves information, deviating from a purely thermal spectrum.

Contribution

It introduces a calculation of charged particle tunnelling from Kerr-Newman black holes within the Parikh-Wilczek framework, highlighting the reversible nature and information conservation.

Findings

Emission spectrum matches unitarity principles.

Spectrum deviates from pure thermal form.

Emission process is reversible, conserving information.

Abstract

In this letter, Parikh-Wilczek tunnelling framework, which treats Hawking radiation as a tunnelling process, is extended, and the emission rate of a charged particle tunnelling from the Kerr-Newman black hole is calculated. The emission spectrum takes the same functional form as that of uncharged particles and consists with an underlying unitary theory but deviates from the pure thermal spectrum. Moreover, our calculation indicates that the emission process is treated as a reversible process in the Parikh-Wilczek tunnelling framework, and the information conservation is a natural result of the first law of black hole thermodynamics.