Geometric finiteness, holography and quasinormal modes for the warped AdS
                    <sub>3</sub>
                    black hole

Gupta, Kumar S.; Harikumar, E.; Sen, Siddhartha; Sivakumar, M.

doi:10.1088/0264-9381/27/16/165012

Cited by 6 publications

(8 citation statements)

References 26 publications

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“…As discussed above, another manifestation of the holography for the BTZ black hole appears through its connection with Sullivan's theorem [49,58,59]. It was shown in [60] JHEP06 (2017)107 that instead of using the boundary conditions at infinity, certain monodromy conditions could be imposed on the solutions of a massless KG equation in the background of a BTZ black hole to give exactly the same QNM frequencies.…”

Section: Qnm and Holographymentioning

confidence: 99%

“…Further evidence for holography in the case of the BTZ comes from Sullivan's theorem, which says that for a certain class of manifolds, there is a 1-1 correspondence of the hyperbolic structure as encoded in the metric and the conformal structure of the boundary [57]. It has been shown that the Sullivan's theorem is applicable for the BTZ black hole [49,58,59], which provides an exact kinematical statement of holography for the BTZ. Furthermore, using certain monodromy conditions which can be derived using the Sullivan's theorem, it is possible to calculate the so called nonquasinormal frequencies for the BTZ black hole, which have a form that is identical to the usual QNM frequencies for the BTZ [60,61].…”

Section: Qnm and Holographymentioning

confidence: 99%

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Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Gupta¹,

Jurić²,

Samsarov³

2017

J. High Energ. Phys.

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Abstract:We analyze the fermionic quasinormal modes of the BTZ black hole in the presence of space-time noncommutativity. Our analysis exploits a duality between a spinless and spinning BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Using the AdS/CFT correspondence we show that the horizon temperatures in the dual CFT are modified due to noncommutative contributions. We demonstrate the equivalence between the quasinormal and non-quasinormal modes for the noncommutative fermionic probes, which provides further evidence of holography in the noncommutative setting. Finally we present an analysis of the emission of Dirac fermions and the corresponding tunneling amplitude within this noncommutative framework.

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Section: Qnm and Holographymentioning

confidence: 99%

Section: Qnm and Holographymentioning

confidence: 99%

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Gupta¹,

Jurić²,

Samsarov³

2017

J. High Energ. Phys.

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“…Following the argument of Ref. 31, we obtain so-called holographic quasinormal mode frequencies of the warped AdS 3 black hole as follows:…”

Section: Holographic Quasinormal Modes As Characteristic Modes Of Blamentioning

confidence: 99%

Quantization of Entropy Spectra of Black Holes

Kwon

Nam

2015

The Thirteenth Marcel Grossmann Meeting

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From the quasinormal modes of black holes, we obtain the quantizations of the entropy and horizon area of black holes via Bohr-Sommerfeld quantization, based on Bohr's correspondence principle. For this, we identify the appropriate action variable of the classical system corresponding to a black hole. By considering the BTZ black holes in topologically massive gravity as well as Einstein gravity, it is found that the spectra of not the horizon areas but the entropies of black holes are equally spaced. We also propose that other characteristic modes of black holes, which are non-quasinormal modes or holographic quasinormal modes, can be used in quantization of entropy spectra just like quasinormal modes. From these modes, it is found that only the entropy spectrum of the warped AdS 3 black hole is equally spaced as well. Furthermore, by considering a scattering problem in a black hole, we propose that the total transmission modes and total reflection modes of black holes can be regarded as characteristic modes of black holes and result in the equally spaced entropy of the Kerr and Reissner-Nordström black holes. Finally, we conclude that there is a universal behavior that the entropy spectra of various black holes are equally spaced. Keywords: Quasinormal modes; entropy spectrum of a black hole. The Thirteenth Marcel Grossmann Meeting Downloaded from www.worldscientific.com by UNIVERSITY OF BIRMINGHAM on 05/18/16. For personal use only.

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“…Following the argument of Ref. 57, we obtain so-called holographic QNM frequencies of the warped AdS 3 black hole as follows:…”

Section: Holographic Qnm As Characteristic Modes Of Black Holesmentioning

confidence: 99%

Quantization of Entropy Spectra of Black Holes

Kwon

Nam

2013

Int. J. Mod. Phys. D

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From the quasinormal modes (QNM) of black holes, we obtain the quantizations of the entropy and horizon area of black holes via Bohr-Sommerfeld quantization, based on Bohr's correspondence principle. For this, we identify the appropriate action variable of the classical system corresponding to a black hole. By considering the BTZ black holes in topologically massive gravity as well as Einstein gravity, it is found that the spectra of not the horizon areas but the entropies of black holes are equally spaced. We also propose that other characteristic modes of black holes, which are non-QNM or holographic QNM, can be used in quantization of entropy spectra just like QNM. From these modes, it is found that only the entropy spectrum of the warped AdS 3 black hole is equally spaced as well. Furthermore, by considering a scattering problem in a black hole, we propose that the total transmission modes and total reflection modes of black holes can be regarded as characteristic modes of black holes and result in the equally spaced entropy of the Kerr and Reissner-Nordström black holes. Finally, we conclude that there is a universal behavior that the entropy spectra of various black holes are equally spaced.

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Geometric finiteness, holography and quasinormal modes for the warped AdS ₃ black hole

Cited by 6 publications

References 26 publications

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Quantization of Entropy Spectra of Black Holes

Quantization of Entropy Spectra of Black Holes

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Geometric finiteness, holography and quasinormal modes for the warped AdS 3 black hole

Cited by 6 publications

References 26 publications

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Quantization of Entropy Spectra of Black Holes

Quantization of Entropy Spectra of Black Holes

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Product

Resources

About

Geometric finiteness, holography and quasinormal modes for the warped AdS ₃ black hole