Hawking temperature and higher order calculations

TL;DR

This paper investigates higher order corrections to Hawking radiation solutions, demonstrating that such corrections do not alter the Hawking temperature for various spins, including zero and half-integer spins.

Contribution

It provides a detailed analysis of higher order calculations in wave equations across black hole horizons, confirming the invariance of Hawking temperature under these corrections.

Findings

Higher order corrections modify wave solutions for zero spin.

No correction to Hawking temperature for spin 1/2.

Solutions remain consistent with original Hawking radiation predictions.

Abstract

Hawking radiation has recently been explained by using solutions of wave equations across black hole horizons in a WKB approximation. Higher order calculations using both usual and non-singular coordinates are found to change the solution for zero spin, but this change is not an alteration of the Hawking temperature. For spin 1/2, there is no correction to the simplest form of the solution.