Recent Attempts in the Analysis of Black Hole Radiation

TL;DR

This thesis reviews and clarifies the derivation of Hawking radiation, presenting improved methods based on anomalies and tunneling, and extends these techniques to Kerr-Newman black holes.

Contribution

It offers more satisfactory derivations of Hawking radiation using covariant anomalies and extends tunneling methods to Kerr-Newman black holes.

Findings

Systematic derivation of Hawking radiation using covariant anomalies.

Extension of tunneling method to Kerr-Newman black holes.

Direct derivation of black body spectrum for Kerr-Newman black holes.

Abstract

In this thesis, we first present a brief review of black hole radiation which is commonly called Hawking radiation. The existence of Hawking radiation by itself is well established by now because the same result is derived by several different methods. On the other hand, there remain several aspects of the effect which have yet to be clarified. We clarify some arguments in previous works on the subject and then attempt to present the more satisfactory derivations of Hawking radiation. To be specific, we examine the analyses in the two recent derivations of Hawking radiation which are based on anomalies and tunneling; both of these derivations were initiated by Wilczek and his collaborators. We then present a simple derivation based on anomalies by emphasizing a systematic use of covariant currents and covariant anomalies combined with boundary conditions which have clear physical meaning. We also extend a variant of the tunneling method proposed by Banerjee and Majhi to a Kerr-Newman black hole by using the technique of the dimensional reduction near the horizon. We directly derive the black body spectrum for a Kerr-Newman black hole on the basis of the tunneling mechanism.We directly derive the black body spectrum for a Kerr-Newman black hole on the basis of the tunneling mechanism.