Dense spectrum of resonances and spin-1/2 particle capture in a near-black-hole metric

TL;DR

This paper demonstrates that a spin-1/2 particle near a nearly black-hole-sized massive body exhibits a dense spectrum of resonances, with properties approaching those of a black hole, suggesting black-hole features can appear before actual formation.

Contribution

It reveals that a non-singular static metric can produce black-hole-like resonance spectra and absorption cross sections for spin-1/2 particles, prior to black hole formation.

Findings

Resonance spectrum becomes dense as R approaches r_s

Resonance lifetimes tend to infinity near the limit

Particle capture cross section matches black hole absorption cross section

Abstract

We show that a spin-1/2 particle in the gravitational field of a massive body of radius R which slightly exceeds the Schwarzschild radius r_s, possesses a dense spectrum of narrow resonances. Their lifetimes and density tend to infinity in the limit R -> r_s. We determine the cross section of the particle capture into these resonances and show that it is equal to the spin-1/2 absorption cross section for a Schwarzschild black hole. Thus black-hole properties may emerge in a non-singular static metric prior to the formation of a black hole.