Hawking Radiation of Black Shells

TL;DR

This paper demonstrates that a black shell, a model of collapsing matter near a black hole horizon, emits radiation at the same rate as a black hole, using tunneling methods and scalar field equations.

Contribution

It shows that black shells have the same Hawking radiation emission rate as black holes by applying the Parikh-Wilczek tunneling approach.

Findings

Black shells emit radiation at the same rate as black holes.

The Klein-Gordon equation near the horizon supports this equivalence.

Tunneling approach confirms the emission rate.

Abstract

A black shell consists of a massive thin spherical shell contracting toward its gravitational radius, coinciding with 't Hooft's brick wall, from the point of view of an external observer far from the shell. This object was conceived by J.R.Arenas and W.Israel in order to effectively model the gravitational collapse dynamics and the thermodynamics of a black hole [5,6,21,1]. We show in this article that a black shell presents the same emission rate of a black hole when we consider Klein-Gordon equation in the near horizon limit. We will use Parikh-Wilczek tunneling approach to obtain the black shell emission rate [2].