Dense spectrum of resonances and particle capture in a near-black-hole metric

Abstract

We show that a quantum scalar 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 absorption cross section for a Schwarzschild black hole. Thus, a non-singular static metric acquires black-hole properties before the actual formation of a black hole.

6 pages, 6 figures, accepted for publication in Physical Review D

References in corpus (4)

• Universality of high-energy absorption cross sections for black holes
• Electromagnetic wave scattering by Schwarzschild black holes
• Quantum Bound States Around Black Holes
• Energy levels of a scalar particle in a static gravitational field close to the black hole limit

Cited by in corpus (5)

• Exact solution of inverse-square-root potential $V\left(r\right)=-\frac{\alpha }{\sqrt{r}}$
• Resonant scattering of light in a near-black-hole metric
• Narrow resonances and black-hole-like absorption in a non-black-hole metric
• Resonance scattering and the passage to bound states in the field of near-black-hole objects
• Dense spectrum of resonances and spin-1/2 particle capture in a near-black-hole metric