Hawking Radiation -- Revisited

TL;DR

This paper revisits Hawking radiation, providing new insights by re-deriving key calculations from first principles and extending the analysis to local horizons and non-flat spacetimes.

Contribution

It offers a detailed re-derivation of Hawking radiation and generalizes the calculations to more complex spacetime geometries.

Findings

Re-derivation of Hawking radiation from first principles.

Extension of calculations to local Killing horizons.

Application to asymptotically non-flat spacetimes.

Abstract

In this paper we revisited Hawking radiation in the light of the original calculations of Hawking and Wald and found that some additional insights can be gained. We review a "derivation" of the field theory Hilbert space from the space of solutions, followed by the calculation of Bogoliubov coefficients in a collapsed spacetime from first principles. We show that these calculations can be generalized to the case of local Killing horizons and also to asymptotically non-flat spaces.