On Hawking Radiation as Tunneling with Back-Reaction

TL;DR

This paper extends the tunneling method for calculating black hole temperature to include higher-order gravitational back-reaction effects, refining previous approaches and providing a more accurate depiction of Hawking radiation.

Contribution

It adapts the existing tunneling formalism to incorporate gravitational back-reaction effects, enhancing the accuracy of black hole temperature calculations.

Findings

Inclusion of back-reaction modifies the tunneling probability.

Refined method yields more precise Hawking temperature estimates.

Demonstrates the formalism's adaptability to higher-order effects.

Abstract

Recently, Angheben et.al. [hep-th/0503081] have presented a refined method for calculating the (tree-level) black hole temperature by way of the tunneling paradigm. In the current letter, we demonstrate how their formalism can be suitably adapted to accommodate the (higher-order) effects of the gravitational back-reaction.