Back Reaction of Hawking Radiation on Black Hole Geometry

TL;DR

This paper introduces a model for a dynamic black hole with a shell that accounts for Hawking radiation back reaction, resulting in a 'hairy' black hole geometry that bifurcates into two disconnected spacetimes.

Contribution

It presents a novel model capturing the back reaction of Hawking radiation on black hole geometry with a shell that leads to bifurcation and tunneling effects.

Findings

Back reaction correction from Hawking radiation is calculated.

The model describes a 'hairy' black hole with a finite neighborhood deviation.

Bifurcation leads to two disconnected Schwarzschild-like geometries.

Abstract

We propose a model for the geometry of a dynamical spherical shell in which the metric is asymptotically Schwarzschild, but deviates from Ricci-flatness in a finite neighbourhood of the shell. Hence, the geometry corresponds to a `hairy' black hole, with the hair originating on the shell. The metric is regular for an infalling shell, but it bifurcates, leading to two disconnected Schwarzschild-like spacetime geometries. The shell is interpreted as either collapsing matter or as Hawking radiation, depending on whether or not the shell is infalling or outgoing. In this model, the Hawking radiation results from tunnelling between the two geometries. Using this model, the back reaction correction from Hawking radiation is calculated.