Perturbative calculation of quasi-normal modes of Schwarzschild black holes

2003/08/31 by Suphot Musiri, George Siopsis · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/20/24/l02

published as Class.Quant.Grav. 20 (2003) L285-L291 · 11 pages; references added and a sign error corrected; to appear in CQG

arxiv created 2003/10/22 · openalex publication_date 2003/11/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by Motl and Neitzke. We obtain an explicit expression for the first-order correction and arbitrary spin. Our results are in agreement with the results from WKB and numerical analyses in the case of scalar and gravitational waves.

Citations

• The quasi-normal modes of the Schwarzschild black hole
• Loop Quantum Gravity
• Stability of a Schwarzschild Singularity

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