Fermions Tunneling from Apparent Horizon of FRW Universe

TL;DR

This paper extends previous work on Hawking radiation from the apparent horizon of FRW universe by calculating Fermions' tunneling radiation, confirming the Hawking temperature and spectrum using the Dirac equation.

Contribution

It introduces a calculation of Fermions' Hawking radiation from the FRW apparent horizon using the tunneling formalism and Dirac equation, supporting prior scalar particle results.

Findings

Fermions' Hawking radiation spectrum is derived.

Hawking temperature of the apparent horizon is confirmed.

Results support previous scalar particle radiation findings.

Abstract

In the paper [arXiv:0809.1554], the scalar particles' Hawking radiation from the apparent horizon of Friedmann-Robertson-Walker(FRW) universe was investigated by using the tunneling formalism. They obtained the Hawking temperature associated with the apparent horizon, which was extensively applied in investigating the relationship between the first law of thermodynamics and Friedmann equations. In this paper, we calculate Fermions' Hawking radiation from the apparent horizon of FRW universe via tunneling formalism. Applying WKB approximation to the general covariant Dirac equation in FRW spacetime background, the radiation spectrum and Hawking temperature of apparent horizon are correctly recovered, which supports the arguments presented in the paper [arXiv:0809.1554].