Narrow resonances and black-hole-like absorption in a non-black-hole metric

Abstract

A massive body with the Schwarzschild interior metric (perfect fluid of constant density) develops a pressure singularity at the origin when the radius of the body $R$ approaches $9r_s/8$, where $r_s$ is the Schwarzschild radius. We show that a quantum scalar particle scattered in this gravitational field possesses a dense spectrum of narrow resonances. Their density and lifetimes tend to infinity in the limit $R\to 9r_s/8$, and we determine the cross section of the particle capture into these quasibound states. Therefore, a body that is not a black hole demonstrates black-hole-like absorption.

arXiv comment6 pages, 4 figures

References in corpus (6)

• Universailty of Low Energy Absorption Cross-sections for Black Holes
• Universality of high-energy absorption cross sections for black holes
• Electromagnetic wave scattering by Schwarzschild black holes
• Scattering of scalar particles by a black hole
• Dense spectrum of resonances and particle capture in a near-black-hole metric
• Energy levels of a scalar particle in a static gravitational field close to the black hole limit

Cited by in corpus (1)

• Resonance scattering and the passage to bound states in the field of near-black-hole objects