Interference and reflection from the event horizon of a quantum corrected black hole

TL;DR

This paper investigates how quantum gravity corrections influence the Hawking temperature of a black hole by analyzing reflection and tunneling methods, revealing that quantum effects modify the temperature formula through metric corrections.

Contribution

It introduces a novel calculation of Hawking temperature incorporating quantum gravity corrections via reflection and tunneling methods, emphasizing metric modifications over semi-classical effects.

Findings

Quantum gravity corrections alter the Hawking temperature formula.

Reflection and tunneling methods yield consistent temperature results.

Corrections originate from modifications to the black hole's lapse function.

Abstract

In this work, we calculate the Hawking temperature for a quantum corrected black hole geometry using the $reflection$ $from$ $the$ $horizon$ method. We observe that quantum gravity corrections indeed show up in the Hawking temperature formula of the quantum corrected black hole. It is important to notice that the quantum gravity corrections arise in the Hawking temperature formula only due to the underlying quantum gravity corrections to the lapse function of the black hole metric rather than the semi-classical methods used in the analysis. We also substantiate our result by computing the Hawking temperature using the tunneling approach.