Physical Interpretation of the Spectrum of Black Hole Quasinormal Modes

Maggiore, Michele

doi:10.1103/physrevlett.100.141301

Cited by 319 publications

(580 citation statements)

References 25 publications

(53 reference statements)

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“…Our scattering analysis seems to be in agreement with the Maggiore's interpretation [18]. It should be noted that the Hawking effect and the highly damped QNM are not linked to a very low frequency limit [1] but simply to the interaction of s-fields with the considered BH, whatever their energy is.…”

Section: Jhep01(2013)188supporting

confidence: 79%

A scattering approach to some aspects of the Schwarzschild black hole

Raffaelli

2013

J. High Energ. Phys.

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In this paper, we consider a massless field, with spin j, in interaction with a Schwarzschild black hole in four dimensions, focusing mainly our study on the s-wave scattering. First, using a Fourier analysis, we show that one can have a simple and natural description of the Physics near the event horizon without using any conformal field approaches. Then, within the same "scattering picture", we derive analytically the imaginary part of the highly damped quasinormal complex frequencies and, as a natural consequence of our analysis, we show that thermal effects and in particular Hawking radiation, can be understood through the scattering of an ingoing s-wave by the non null barrier of the Regge-Wheeler potential associated with the Schwarzschild black hole. Finally, with the help of the well-known expression of the highly damped quasinormal complex frequencies, we propose a heuristic extension of the "tripled Pauli statistics" suggested by Motl, some years ago.

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Section: Jhep01(2013)188supporting

confidence: 79%

A scattering approach to some aspects of the Schwarzschild black hole

Raffaelli

2013

J. High Energ. Phys.

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“…Here we show that this criticism works only for the original proposal by Hod [4,5], while it does not work for the improvements suggested by Maggiore [6] and recently finalized by the author and collaborators [11,12,13,14] through a connection between Hawking radiation and BH QNMs (Bohr-like model for BHs). Let us see this issue in detail.…”

Section: Criticisms By Khriplovichmentioning

confidence: 85%

“…More recently, by using Bohr's Correspondence Principle, Hod proposed that QNMs should release information about the area quantization as QNMs are associated to absorption of particles [4,5]. Hod's work was improved by Maggiore [6] who solved some important problems. On the other hand, as QNMs are countable frequencies, ideas on the continuous character of Hawking radiation did not agree with attempts to interpret QNMs in terms of emitted quanta, preventing to associate QNMs modes to Hawking radiation [1].…”

Section: Introductionmentioning

confidence: 99%

“…For Schwarzschild BH and in strictly thermal approximation, QNMs are usually labelled as ω nl , where n and l are the "overtone" and the angular momentum quantum numbers [1,2,4,5,6]. For each l≥ 2 for BH perturbations, we have a countable infinity of QNMs, labelled by n (n = 1, 2, ...) [1,2,4,5,6].…”

Section: Hod's Original Proposalmentioning

confidence: 99%

“…For each l≥ 2 for BH perturbations, we have a countable infinity of QNMs, labelled by n (n = 1, 2, ...) [1,2,4,5,6]. Working with G = c = k B = = 1 4πǫ0 = 1 (Planck units), for large n BH QNMs become independent of l having the structure [1,2,4,5,6] …”

Section: Hod's Original Proposalmentioning

confidence: 99%

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On Quasi-Normal Modes, Area Quantization and Bohr Correspondence Principle

Corda

2015

Int J Theor Phys

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In Int. Journ. Mod. Phys. D 14, 181 (2005), the author Khriplovich verbatim claims that "the correspondence principle does not dictate any relation between the asymptotics of quasinormal modes and the spectrum of quantized black holes" and that "this belief is in conflict with simple physical arguments". In this paper we analyze Khriplovich's criticisms and realize that they work only for the original proposal by Hod, while they do not work for the improvements suggested by Maggiore and recently finalized by the author and collaborators through a connection between Hawking radiation and black hole (BH) quasi-normal modes (QNMs). This is a model of quantum BH somewhat similar to the historical semiclassical model of the structure of a hydrogen atom introduced by Bohr in 1913. Thus, QNMs can be really interpreted as BH quantum levels (the "electrons" of the "Bohr-like BH model").Our results have also important implications on the BH information puzzle.

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Spectroscopy of rotating linear dilaton black holes from boxed quasinormal modes

Сакалли

Tokgöz

2016

Annalen der Physik

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Numerical studies of the coupled Einstein-Klein-Gordon system have recently revealed that confined scalar fields generically collapse to form caged black holes. In the light of this finding, we analytically study the characteristic resonance spectra of the confined scalar fields in rotating linear dilaton black hole geometry. Confining mirrors (cage) are assumed to be placed in the near-horizon region of a caged rotating linear dilaton black hole rm−r 2 r 2 ≪ 1 (rm is the radius of the cage and r2 represents the event horizon). The radial part of the Klein-Gordon equation is written as a Schrödinger-like wave equation, which reduces to a Bessel differential equation around the event horizon. Using analytical tools and proper boundary conditions, we obtain the boxed-quasinormal mode frequencies of the caged rotating linear dilaton black hole. Finally, we employ Maggiore's method, which evaluates the transition frequency in the adiabatic invariant quantity from the highly damped quasinormal modes, in order to investigate the entropy/area spectra of the rotating linear dilaton black hole.

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Physical Interpretation of the Spectrum of Black Hole Quasinormal Modes

Cited by 319 publications

References 25 publications

A scattering approach to some aspects of the Schwarzschild black hole

A scattering approach to some aspects of the Schwarzschild black hole

On Quasi-Normal Modes, Area Quantization and Bohr Correspondence Principle

Spectroscopy of rotating linear dilaton black holes from boxed quasinormal modes

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