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The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
General Relativity and Quantum Cosmology · Submitted 27 Nov 2006
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that for this damping region the famous $\ln(3)$ appears in the real part of the quasinormal mode frequency.
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The abstract, sentence by sentence
We analyze the quasinormal modes of $D$-dimensional Schwarzschild black holes with the Gauss-Bonnet correction in the large damping limit and show that standard analytic techniques cannot be applied in a straightforward manner to the case of infinite damping. However, by using a combination of analytic and numeric techniques we are able to calculate the quasinormal mode frequencies in a range where the damping is large but finite. We show that for this damping region the famous $\ln(3)$ appears in the real part of the quasinormal mode frequency. In our calculations, the Gauss-Bonnet coupling, $\alpha$, is taken to be much smaller than the parameter $\mu$, which is related to the black hole mass.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the quasinormal modes of $D$-dimensional Schwarzschild black holes with the Gauss-Bonnet correction in the large damping limit and show that standard analytic techniques cannot be applied in a straightforward manner to the case of infinite damping. | contribution 0.61 | 0.92 | 0.23 | asserted 1.00 |
| s1 | However, by using a combination of analytic and numeric techniques we are able to calculate the quasinormal mode frequencies in a range where the damping is large but finite. | method 0.82 | 0.96 | 0.14 | asserted 1.00 |
| s2 | We show that for this damping region the famous $\ln(3)$ appears in the real part of the quasinormal mode frequency. | result 1.00 | 0.93 | 0.48 | asserted 1.00 |
| s3 | In our calculations, the Gauss-Bonnet coupling, $\alpha$, is taken to be much smaller than the parameter $\mu$, which is related to the black hole mass. | method 0.72 | 0.84 | 0.04 | asserted 1.00 |
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Original abstract
We analyze the quasinormal modes of $D$-dimensional Schwarzschild black holes with the Gauss-Bonnet correction in the large damping limit and show that standard analytic techniques cannot be applied in a straightforward manner to the case of infinite damping. However, by using a combination of analytic and numeric techniques we are able to calculate the quasinormal mode frequencies in a range where the damping is large but finite. We show that for this damping region the famous $\ln(3)$ appears in the real part of the quasinormal mode frequency. In our calculations, the Gauss-Bonnet coupling, $\alpha$, is taken to be much smaller than the parameter $\mu$, which is related to the black hole mass.
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4 arXiv papers cite this in 4 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 2 papers
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Notice, that black holes in theories with usual Gauss-Bonnet or Lovelock corrections are usually singular and their quasinormal spectrum has been extensively studied (see, for instance [ref] and references therein).
Grey-body factors of higher dimensional regular black holes in quasi-topological theories · Introduction · 0.96
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The scalar quasinormal modes of Gauss-Bonnet black holes in the regime of high damping were considered in [ref] .
(In)stability of D-dimensional black holes in Gauss-Bonnet theory · Introduction · 0.89
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