Quantum Tunneling and Back Reaction

TL;DR

This paper investigates how back reaction effects modify black hole tunneling probabilities, leading to corrected entropy and temperature calculations, including the well-known logarithmic correction to the area law.

Contribution

It introduces a correction to tunneling probability considering back reaction, affecting black hole entropy and temperature calculations.

Findings

Modified tunneling probability with back reaction

Adjusted black hole entropy and temperature formulas

Reproduction of logarithmic correction to Bekenstein-Hawking law

Abstract

We give a correction to the tunneling probability by taking into account the back reaction effect to the metric of the black hole spacetime. We then show how this gives rise to the modifications in the semiclassical black hole entropy and Hawking temperature. Finally, we reproduce the familiar logarithmic correction to the Bekenstein-Hawking area law.