Hawking radiation of Dirac particles from soft-hairy black holes

TL;DR

This paper investigates Hawking radiation of Dirac particles from soft-hairy black holes, finding that soft hair does not alter the radiation spectrum or temperature, and discusses tunneling formalism in dynamical black holes.

Contribution

It demonstrates that soft hair does not affect Hawking radiation spectrum and explores tunneling formalism validity for dynamical black holes.

Findings

Radiation spectrum and temperature unchanged by soft hair

Particles cannot tunnel from inside the horizon in Vaidya black holes

Discusses limitations of tunneling formalism for dynamical black holes

Abstract

In this paper, we study the Hawking radiation of Dirac particles via tunneling formalism from linearly supertranslated Schwarzschild black hole. We find that the radiation spectrum and the Hawking temperature remain the same as the one without soft hair. We extend the same analysis to the linearly supertranslated Vaidya black hole and find that particles can not tunnel through the horizon from the inside. We further comment on the validity of tunneling formalism in the study of Hawking radiation of dynamical black hole.