On Black Hole Horizon Fluctuations

TL;DR

This paper generalizes the understanding of horizon fluctuations and strong gravitational interactions near black holes, showing that charge and angular momentum increase the scale of these interactions, affecting Hawking radiation.

Contribution

It extends previous results on horizon fluctuations from Schwarzschild to Kerr-Newman black holes, revealing how charge and angular momentum influence the scale of strong interactions.

Findings

Strong interactions occur at larger distances for charged and rotating black holes.

The invariant distance scales as the cube root of the squared horizon radius over Planck constant.

Hawking radiation structure is disrupted in extreme black holes.

Abstract

A study of the high angular momentum particles 'atmosphere' near the Schwarzschild black hole horizon suggested that strong gravitational interactions occur at invariant distance of the order of $\sqrt[3]{M}$ (A. Casher et. al). We present a generalization of this result to the Kerr-Newman black hole case. It is shown that the larger charge and angular momentum black hole bears, the larger invariant distance at which strong gravitational interactions occur becomes. This invariant distance is of order $\sqrt[3]{r_+^2/\hh}.$ This implies, that the Planckian structure of the Hawking radiation of extreme black holes is completely broken.