Quasinormal behavior of theD-dimensional Schwarzschild black hole and the higher order WKB approach

2003/03/31 by R. A. Konoplya · 21 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Computer science #Geometry #Gravitation #Horizon #Inverse #Mathematical physics #Mathematics #Multipole expansion #Order (exchange) #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #RADIUS #Schwarzschild radius #WKB approximation #gr-qc

paper · pdf · doi:10.1103/physrevd.68.024018

published as Phys.Rev.D68:024018,2003 · 15 pages, 6 figures, the 6th order WKB formula for computing QNMs in Mathematica is available from https://goo.gl/nykYGL

openalex publication_date 2003/07/11 · openalex created_date 2016/06/24 · arxiv created 2018/04/03 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05

Abstract

We study characteristic (quasinormal) modes of a D-dimensional Schwarzschild black hole. It is shown that the real parts of the complex quasinormal modes, representing the real oscillation frequencies, are proportional to the product of the number of dimensions and inverse horizon radius \ensuremath∼Dr₀^\ensuremath-1. The asymptotic formula for large multipole number l and arbitrary D is derived. In addition, the WKB formula for computing QN modes, developed to the third order beyond the eikonal approximation, is extended to the sixth order here. This gives us an accurate and economic way to compute quasinormal frequencies.

Citations

• Quasinormal Modes of Near Extremal Black Branes
• Gravitational quasinormal modes for anti-de Sitter black holes
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Decay of a charged scalar field around a black hole: Quasinormal modes of RN, RNAdS, and dilaton black holes
• Quasinormal modes: the characteristic `sound' of black holes and neutron stars

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