Decay of massive scalar field in a Schwarzschild background

Details Decay of massive scalar field in a Schwarzschild background Decay of massive scalar field in a Schwarzschild background

2004-11-11

arxiv.org/abs/gr-qc/0411059v2

Phys.Lett. B609 (2005) 377-384

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 3 figures, Physics Letters B, at press

Scientific paper

10.1016/j.physletb.2005.01.078

The decay of massive scalar field in the Schwarzschild black hole background is investigated here by consideration its quasinormal spectrum. It has been proved that the so-called $quasi-resonant$ modes, which are arbitrary long living (purely real) modes, can exist only if the effective potential is not zero at least at one of the boundaries of the $R$-region. We have observed that the quasinormal spectrum exists for all field masses and proved both analytically and numerically that when $n \to \infty$ the real part of the frequencies approaches the same asymptotical value ($\ln3/(8\pi M)$) as in the case of the massless field.

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