Energy levels of a scalar particle in a static gravitational field close to the black hole limit

Details Energy levels of a scalar particle in a static gravitational field close to the black hole limit Energy levels of a scalar particle in a static gravitational field close to the black hole limit

2010-06-29

arxiv.org/abs/1006.5541v3

Gen.Rel.Grav.43:2673-2683,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 3 figures; minor text changes

Scientific paper

10.1007/s10714-011-1191-9

The bound-state energy levels of a scalar particle in the gravitational field of finite-sized objects with interiors described by the Florides and Schwarzschild metrics are found. For these metrics, bound states with zero energy (where the binding energy is equal to the mass of the scalar particle) only exist when a singularity occurs in the metric. For the Florides metric this singularity occurs in the black hole limit, while for the constant density (Schwarzschild interior) metric it corresponds to infinite pressure at the center. Moreover, the energy spectrum is shown to become quasi-continuous as the metric becomes singular.

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