Article

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

04/2012; DOI:10.1103/PhysRevD.86.044042
Source: arXiv

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 $R\rightarrow 9r_s/8$, 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.

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### Keywords

black hole

black-hole-like absorption

dense spectrum

infinity

massive body

particle capture

perfect fluid

quantum scalar particle

quasibound states

Schwarzschild interior metric