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

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

2010-12-09

arxiv.org/abs/1012.2134v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

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.

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