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The asymptotic quasinormal mode spectrum of non-rotating black holes

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arxiv gr-qc/0307020 v1 pith:TODPXMDL submitted 2003-07-04 gr-qc hep-th

The asymptotic quasinormal mode spectrum of non-rotating black holes

classification gr-qc hep-th
keywords blackqnmsasymptoticholereissner-nordstromresultsholesquasinormal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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A conjectured connection to quantum gravity has led to a renewed interest in highly damped black hole quasinormal modes (QNMs). In this paper we present simple derivations (based on the WKB approximation) of conditions that determine the asymptotic QNMs for both Schwarzschild and Reissner-Nordstrom black holes. This confirms recent results obtained by Motl and Neitzke, but our analysis fills several gaps left by their discussion. We study the Reissner-Nordstrom results in some detail, and show that, in contrast to the asymptotic QNMs of a Schwarzschild black hole, the Reissner-Nordstrom QNMs are typically not periodic in the imaginary part of the frequency. This leads to the charged black hole having peculiar properties which complicate an interpretation of the results.

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Cited by 5 Pith papers

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    Constant 1/r⁴-or-higher parametrized corrections to the Regge–Wheeler potential drive the real part of high-overtone QNM frequencies to diverge (e.g., like N^{1/5}), unlike Schwarzschild.

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    Polar perturbations inside Schwarzschild have ℓ−1 bound states; ℓ−2 of them are exactly isospectral to axial bound states, and the extra ground state is the algebraically special mode, yielding ΔA = 16π l_Pl².

  4. Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation

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    Reassessment of the Dudley-Finley decoupling approximation for Kerr-Newman quasinormal modes with direct comparisons to the coupled system and new analysis of near-extremal zero-damped modes.

  5. Quasinormal modes of black holes and black branes

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    Quasinormal modes are eigenmodes of dissipative gravitational systems whose spectra encode near-equilibrium transport coefficients in dual quantum field theories and enable tests of general relativity through gravitat...