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

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.