Spin-1 Quasi-normal Frequencies in Schwarzschild space-time for Large Overtone Number

Abstract

We analytically investigate the spin-1 quasinormal mode frequencies of Schwarzschild black hole space-time. We formally determine these frequencies to arbitrary order as an expansion for large imaginary part (i.e., large-n, where n is the overtone number). As an example of the practicality of this formal procedure, we explicitly calculate the asymptotic behaviour of the frequencies up to order $n^{-5/2}$.

10 pages, 2 figures. In this version we give more details of the calculation and correct some typographical errors of the previous version

References in corpus (8)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• WKB analysis of the Regge-Wheeler equation down in the frequency plane
• Analytic Study of Rotating Black-Hole Quasinormal Modes
• Asymptotic Spectroscopy of Rotating Black Holes
• High-order Tail in Schwarzschild Space-time
• Analytic Investigation of the Branch Cut of the Green Function in Schwarzschild Space-time
• Quasinormal Modes of Kerr Black Holes in Four and Higher Dimensions
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime

Cited by in corpus (3)

• Analytical Solutions in a Cosmic String Born-Infeld-dilaton Black Hole Geometry: Quasinormal Modes and Quantization
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes