Fermions Tunnelling from Black Holes

TL;DR

This paper studies fermion tunnelling from black holes, demonstrating that the tunnelling method reproduces Hawking temperature for various black hole metrics, including Rindler spacetime and general non-rotating black holes.

Contribution

It extends tunnelling methods to fermions in black hole spacetimes, confirming the Hawking temperature derivation for a broad class of metrics.

Findings

Fermion tunnelling yields the Hawking temperature.

Application to Rindler spacetime reproduces Unruh temperature.

Method works for general non-rotating black holes.

Abstract

We investigate the tunnelling of spin 1/2 particles through event horizons. We first apply the tunnelling method to Rindler spacetime and obtain the Unruh temperature. We then apply fermion tunnelling to a general non-rotating black hole metric and show that the Hawking temperature is recovered.