Hawking radiation screening and Penrose process shielding in the Kerr black hole

TL;DR

This paper investigates how Hawking radiation and the Penrose process are affected by particle motion in Kerr black holes, analyzing forbidden regions, tunneling, and implications for black hole evaporation.

Contribution

It introduces a detailed analysis of particle tunneling and forbidden regions in Kerr black holes, revealing effects on radiation screening and process shielding.

Findings

Screening of Hawking radiation depends on particle parameters.

Shielding of the Penrose process varies with particle energy and angular momentum.

Transmission coefficients for tunneling are quantitatively determined.

Abstract

The radial motion of massive particles in the equatorial plane of the Kerr black hole is considered. Screening of the Hawking radiation and shielding of the Penrose process are examined (both insides and outside the ergosphere) and their effects on the evaporation of the black hole is studied. In particular, the locus and width of a classically forbidden region and their dependence on the particle's angular momentum and energy is analysed. Tunneling of particles between the boundaries of this region is considered and the transmission coefficient is determined.