Hawking Radiation as Tunnelling in Static Black Holes

TL;DR

This paper models Hawking radiation as a tunnelling process in static black holes, incorporating self-gravitation effects to ensure consistency with unitarity, using a generalized Painleve coordinate system.

Contribution

It introduces a generalized Painleve coordinate system to analyze Hawking radiation as tunnelling, accounting for self-gravitation effects in static black holes.

Findings

Radiation spectrum corrected for self-gravitation effects

Consistency with unitarity in Hawking radiation

Effective tunnelling model for static black holes

Abstract

Hawking radiation can usefully be viewed as a semi-classical tunnelling process that originates at the black hole horizon. The conservation of energy implies the effect of self-gravitation. For a static black hole, a generalized Painleve coordinate system is introduced, and Hawking radiation as tunnelling under the effect of self-gravitation is investigated. The corrected radiation is consistent with the underlying unitary theory.