Subtleties in the quasi-classical calculation of Hawking radiation

TL;DR

This paper examines the quasi-classical approach to Hawking radiation, emphasizing the importance of including both temporal and spatial contributions to accurately derive the Hawking temperature.

Contribution

It reveals that accounting for the temporal part of the action is essential for correct temperature calculation in the quasi-classical method.

Findings

Temporal contribution is crucial for accurate Hawking temperature

Including both temporal and spatial parts yields the correct temperature

Highlights subtleties in semi-classical calculations of black hole radiation

Abstract

he quasi-classical method of deriving Hawking radiation is investigated. In order to recover the original Hawking temperature one must take into account a previously ignored contribution coming from the temporal part of the action. This contribution plus a contribution coming from the spatial part of the action gives the correct temperature.