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High overtones of Schwarzschild-de-Sitter quasinormal spectrum

2004/02/29 by R. A. Konoplya, R. A Konoplya, A. Zhidenko +1 · 4 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #hep-th

paper · pdf · doi:10.1088/1126-6708/2004/06/037

published as JHEP 0406 (2004) 037 · 15 pages, 4figures, Latex format

openalex publication_date 2004/06/22 · arxiv created 2004/07/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We find the high overtones of gravitational and electromagnetic quasinormal spectrum of the Schwarzschild-de Sitter black hole. The calculations show that the real parts of the electromagnetic modes asymptotically approach zero. The gravitational modes show more peculiar behavior at large n: the real part oscillates as a function of imaginary even for very high overtones and these oscillations settles to some "profile" which just repeats itself with further increasing of the overtone number n. This lets us judge that Re ω is not a constant as n → ∞ but rather some oscillating function. The spacing for imaginary part Im ωn+1-Im ωn for both gravitational and electromagnetic perturbations at high n oscillates as a function of n around the value ke, where ke is the surface gravity. In addition we find the lower QN modes for which the values obtained with numerical methods are in a very good agreement with those obtained through the 6th order WKB technique.

Citations

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