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Quasinormal modes of the charged black hole in Gauss-Bonnet gravity

2004/10/31 by Roman Konoplya, R. A. Konoplya · 11 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Charge (physics) #Charged black hole #Cosmology and Gravitation Theories #Einstein #Extremal black hole #Gauss–Bonnet theorem #General relativity #Gravitation #Mathematical physics #Multipole expansion #Physics #Quantum electrodynamics #Quantum mechanics #Quasinormal mode #Schwarzschild metric #Schwarzschild radius #String (physics) #hep-th

paper · pdf · doi:10.1103/physrevd.71.024038

published as Phys.Rev. D71 (2005) 024038 · 16 pages, 4 figures, 3 tables; misprints corrected

openalex publication_date 2005/01/31 · arxiv created 2005/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The D-dimensional string generated gravity models lead to Einstein-Maxwell equations with a quadratic order correction term called the Gauss-Bonnet (GB) term. We calculate the quasinormal modes for the D-dimensional charged black hole in the framework of this model. The quasinormal spectrum essentially depends upon the Gauss-Bonnet coupling parameter \ensuremathα which is related to the string scale, and is totally different from that for black holes derived from Einstein action. In particular, at large \ensuremathα the quasinormal modes are proportional to \ensuremathα and, thus, have greater oscillation frequency and damping rate, while as \ensuremathα goes to zero the quasinormal modes approach their Schwarzschild values. In contrary to Einstein theory black hole behavior, the damping rate of the charged GB black hole as a function of charge does not contain a characteristic maximum, but instead the monotonic falling down is observed. In addition, there has been obtained an asymptotic formula for large multipole numbers.

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