The Hawking evaporation process of rapidly-rotating black holes: An almost continuous cascade of gravitons

TL;DR

This paper demonstrates that rapidly-rotating Kerr black holes emit Hawking radiation in a nearly continuous cascade, challenging previous misconceptions and providing new insights into black hole evaporation dynamics.

Contribution

It establishes that the ratio of the average time gap to the emission timescale is of order one for rapidly-rotating black holes, indicating an almost continuous Hawking emission process.

Findings

The ratio τ_gap/τ_emission is approximately 1 for rapidly-rotating Kerr black holes.

Hawking radiation from these black holes occurs as a nearly continuous cascade.

The results correct previous misconceptions about the nature of black hole evaporation.

Abstract

It is shown that rapidly-rotating Kerr black holes are characterized by the dimensionless ratio $\tau_{\text{gap}}/\tau_{\text{emission}}=O(1)$, where $\tau_{\text{gap}}$ is the average time gap between the emission of successive Hawking quanta and $\tau_{\text{emission}}$ is the characteristic timescale required for an individual Hawking quantum to be emitted from the black hole. This relation implies that the Hawking cascade from rapidly-rotating black holes has an almost continuous character. Our results correct some inaccurate claims that recently appeared in the literature regarding the nature of the Hawking black-hole evaporation process.