Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes

Details Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes Asymptotic Quasinormal Frequencies of Different Spin Fields in Spherically Symmetric Black Holes

2005-12-08

arxiv.org/abs/gr-qc/0512052v2

Phys.Rev. D73 (2006) 024019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 17 pages, 3 eps figures; one table, some remarks and references added to section IV

Scientific paper

10.1103/PhysRevD.73.024019

We consider the asymptotic quasinormal frequencies of various spin fields in Schwarzschild and Reissner-Nordstr\"om black holes. In the Schwarzschild case, the real part of the asymptotic frequency is ln3 for the spin 0 and the spin 2 fields, while for the spin 1/2, the spin 1, and the spin 3/2 fields it is zero. For the non-extreme charged black holes, the spin 3/2 Rarita-Schwinger field has the same asymptotic frequency as that of the integral spin fields. However, the asymptotic frequency of the Dirac field is different, and its real part is zero. For the extremal case, which is relevant to the supersymmetric consideration, all the spin fields have the same asymptotic frequency, the real part of which is zero. For the imaginary parts of the asymptotic frequencies, it is interesting to see that it has a universal spacing of $1/4M$ for all the spin fields in the single-horizon cases of the Schwarzschild and the extreme Reissner-Nordstr\"om black holes. The implications of these results to the universality of the asymptotic quasinormal frequencies are discussed.

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