Quasinormal modes for arbitrary spins in the Schwarzschild background

Abstract

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.

arXiv comment14 pages, 2 figures; arguments improved, no results changed; 2 references added

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Cited by in corpus (9)

• The physical interpretation of the spectrum of black hole quasinormal modes
• Area spectrum of the D-dimensional de Sitter spacetime
• Electromagnetic quasinormal modes of D-dimensional black holes
• Spectroscopy of Kerr-AdS${}_5$ spacetime with the Heun function: Quasinormal modes, greybody factor, and evaporation
• Analytic calculation of quasi-normal modes
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime
• Generic master equations for quasi-normal frequencies
• Aspects of General Relativity: Pseudo-Finsler extensions, Quasi-normal frequencies and Multiplication of tensorial distributions
• Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis