Quasinormal modes for arbitrary spins in the Schwarzschild background

Details Quasinormal modes for arbitrary spins in the Schwarzschild background Quasinormal modes for arbitrary spins in the Schwarzschild background

2005-11-11

arxiv.org/abs/gr-qc/0511056v2

Int.J.Mod.Phys. D15 (2006) 879-894

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 2 figures; arguments improved, no results changed; 2 references added

Scientific paper

10.1142/S0218271806008620

The leading term of the asymptotic of quasinormal modes in the Schwarzschild background, omega_n = - i n/2, is obtained in two straightforward analytical ways for arbitrary spins. One of these approaches requires almost no calculations. As simply we demonstrate that for any odd integer spin, described by the Teukolsky equation, the first correction to the leading term vanishes. Then, this correction for half-integer spins is obtained in a slightly more intricate way. At last, we derive analytically the general expression for the first correction for all spins, described by the Teukolsky equation.

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