Deriving the paradox: original derivation of Hawking radiation

TL;DR

This paper revisits Hawking's original derivation of black hole evaporation, providing a clear, pedagogical explanation focused on the spherical collapse scenario, and clarifies the assumptions and limitations involved.

Contribution

It offers a detailed, accessible re-derivation of Hawking radiation emphasizing physical assumptions and limitations, enhancing understanding of black hole evaporation.

Findings

Clarifies assumptions behind Hawking radiation derivation

Highlights physical significance of key steps

Discusses limitations of the original approach

Abstract

We revisit Hawking's original derivation of the evaporation process in a non-stationary spacetime, presenting it in a clear and pedagogical manner, with a focus on the spherical collapse of a star into a black hole. Our analysis highlights the underlying assumptions in the calculations, clarifying their physical significance, potential implications, and the limitations of this approach.