Hawking Radiation from Fluctuating Black Holes

TL;DR

This paper investigates how quantum fluctuations of black hole horizons affect Hawking radiation, revealing deviations from the standard Planck spectrum due to metric perturbations.

Contribution

It derives the quadratic action for metric perturbations and calculates the modified Hawking radiation spectrum considering quantum fluctuations.

Findings

Hawking radiation spectrum deviates from the Planck spectrum due to metric fluctuations.

Quantization of metric perturbations is achieved through a derived quadratic action.

Interaction between scalar fields and fluctuating metrics alters the radiation spectrum.

Abstract

Classically, black Holes have the rigid event horizon. However, quantum mechanically, the event horizon of black holes becomes fuzzy due to quantum fluctuations. We study Hawking radiation of a real scalar field from a fluctuating black hole. To quantize metric perturbations, we derive the quadratic action for those in the black hole background. Then, we calculate the cubic interaction terms in the action for the scalar field. Using these results, we obtain the spectrum of Hawking radiation in the presence of interaction between the scalar field and the metric. It turns out that the spectrum deviates from the Planck spectrum due to quantum fluctuations of the metric.