Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Gupta, Kumar S.; Jurić, Tajron; Samsarov, Andjelo

doi:10.1007/jhep06(2017)107

Cited by 37 publications

(28 citation statements)

References 80 publications

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“…Our results of QNM frequencies could reduce to the formula in Refs. [8,24,25] when the noncommutative parameters and the coupling constant disappear. We have found that the coupling constant ξ shifts the QNM frequencies but does not affect the structure of the area/entropy spectrum.…”

Section: Resultsmentioning

confidence: 99%

“…[8,25]. In this paper, we will devote to the QNM of the massless Dirac field in the noncommutative BTZ background.…”

Section: Fermionic Qnm In the Noncommutative Btz Backgroundmentioning

confidence: 99%

“…However, when the background flux coming from the string theory is not constant, Aschieri et al [23], with developing the metric aspects of non-associative differential geometry tailored to the parabolic phase space model of constant locally non-geometric closed string vacua, obtained explicit expressions for the torsion, curvature, Ricci tensor and Levi-Civita connection in non-associative Riemannian geometry on phase space, constructed R-flux corrections to the Ricci tensor on space-time, and commented on the poten-tial implications of these structures in non-geometric string theory. By studying the noncommutative scalar and fermionic quasinormal modes in commutative BTZ black hole, Gupta et al [24,25] exploited a duality between a non-rotating and rotating BTZ black hole, the spin being proportional to the noncommutative deformation parameter. Therefore, their works showed how the Plank scale physics might influence the QNM frequency by setting the correct commutative limit and noncommutative corrections up to the first order in the deformation parameter.…”

Section: Introductionmentioning

confidence: 99%

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Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole

2018

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We investigate the quasinormal modes and area/ entropy spectrum for the noncommutative BTZ black hole. The exact expressions for QNM frequencies are presented by expanding the noncommutative parameter in horizon radius. We find that the noncommutativity does not affect conformal weights (h L , h R ), but it influences the thermal equilibrium. The intuitive expressions of the area/entropy spectrum are calculated in terms of Bohr-Sommerfeld quantization, and our results show that the noncommutativity leads to a nonuniform area/entropy spectrum. We also find that the coupling constant ξ , which is the coupling between the scalar and the gravitational fields, shifts the QNM frequencies but not influences the structure of area/entorpy spectrum.

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Section: Resultsmentioning

confidence: 99%

“…[8,25]. In this paper, we will devote to the QNM of the massless Dirac field in the noncommutative BTZ background.…”

Section: Fermionic Qnm In the Noncommutative Btz Backgroundmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole

2018

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“…B. NC scalar field in BTZ background and mapping to equivalent commutative model In view of the setting just described, in [54][55][56][57] a model was proposed that is based on the action…”

Section: A Noncommutative Frameworkmentioning

confidence: 99%

Noncommutativity and the weak cosmic censorship

Gupta

Jurić

Samsarov

et al. 2019

J. High Energ. Phys.

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We show that a noncommutative massless scalar probe can dress a naked singularity in AdS3 spacetime, consistent with the weak cosmic censorship. The dressing occurs at high energies, which is typical at the Planck scale. Using a noncommutative duality, we show that the dressed singularity has the geometry of a rotating BTZ black hole which satisfies all the laws of black hole thermodynamics. We calculate the entropy and the quasi-normal modes of the dressed singularity and show that the corresponding spacetime can be quantum mechanically complete. The noncommutative duality also gives rise to a light scalar, which can be relevant for early universe cosmology. * Electronic address: kumars.gupta@saha.ac.in † Electronic address: tjuric@irb.hr ‡ Electronic address: asamsarov@irb.hr § Electronic address: ismolic@phy.hr

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“…After using von-Neumann's method we find the criterion on BTZ parameters that lead to a quantum complete spacetime. In section III we first sketch the NC setting from our previous papers [22][23][24][25], and then proceed with the same analysis as in section II. We see that the range of BTZ parameters rendering the quantum completeness is enlarged.…”

Section: Introductionmentioning

confidence: 99%

Quantum space and quantum completeness

Jurić

2018

J. High Energ. Phys.

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Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while quantum completeness requires a unique unitary time evolution for test fields propagating on an underlying background. Here the crucial point is that quantum completeness renders the Hamiltonian (or spatial part of the wave operator) to be essentially self-adjoint in order to generate a unique time evolution. We examine a model of quantum space which consists of a noncommutative BTZ black hole probed by a test scalar field. We show that the quantum gravity (noncommutative) effect is to enlarge the domain of BTZ parameters for which the relevant wave operator is essentially self-adjoint. This means that the corresponding quantum space is quantum complete for a larger range of BTZ parameters rendering the conclusion that in the quantum space one observes the effect of "smearing out" the singularity. * Electronic address: tjuric@irb.hr

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Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

Cited by 37 publications

References 80 publications

Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole

Quasinormal modes and quantization of area/entropy for noncommutative BTZ black hole

Noncommutativity and the weak cosmic censorship

Quantum space and quantum completeness

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