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The highly damped quasinormal modes of d -dimensional Reissner–Nordström black holes in the small charge limit

2006/04/30 by Ramin G. Daghigh, Ramin G Daghigh, Gabor Kunstatter +2 · 3 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1088/0264-9381/23/17/002

published as Class.Quant.Grav. 23 (2006) 5101-5116 · 18 pages, 8 figures

arxiv created 2006/06/02 · openalex publication_date 2006/08/04 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We analyse in detail the highly damped quasinormal modes of d -dimensional Reissner–Nordström black holes with small charge, paying particular attention to the large but finite damping limit in which the Schwarzschild results should be valid. In the infinite damping limit we confirm, using different methods, the results obtained previously in the literature for higher dimensional Reissner–Nordström black holes. Using a combination of analytic and numerical techniques, we also calculate the transition of the real part of the quasinormal mode frequency from the Reissner–Nordström value for very large damping to the Schwarzschild value of ln(3) T bh for intermediate damping. The real frequency does not interpolate smoothly between the two values. Instead there is a critical value of the damping at which the topology of the Stokes/anti-Stokes lines changes, and the real part of the quasinormal mode frequency dips to zero.

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