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Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole

Gupta, Kumar; Harikumar, E.; Jurić, Tajron; Meljanac, Stjepan; Samsarov, Anđelo (2015) Noncommutative scalar quasinormal modes and quantization of entropy of a BTZ black hole. Journal of High Energy Physics (9). 25-1-25-17. ISSN 1029-8479

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We obtain an exact analytic expression for the quasinormal modes of a noncommutative massless scalar field in the background of a massive spinless BTZ black hole up to the first order in the deformation parameter. We also show that the equations of motion governing these quasinormal modes are identical in form to the equations of motion of a commutative massive scalar field in the background of a fictitious massive spinning BTZ black hole. This results hints at a duality between the commutative and noncommutative systems in the background of a BTZ black hole. Using the obtained results for quasinormal mode frequencies, the area and entropy spectra for the BTZ black hole in the presence of noncommutativity are calculated. In particular, the separations between the neighboring values of these spectra are determined and it is found that they are nonuniform. Therefore, it appears that the noncommutativity leads to a non-equispaced (discrete) area and entropy spectra.

Item Type: Article
Uncontrolled Keywords: non-commutative geometry; models of quantum gravity; AdS-CFT correspondence; space-time symmetries
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologijaStjepan MeljanacIP-09-2014-9582HRZZ
New International Fellowship Mobility Programme for Experienced Researchers-NEWFELPROUNSPECIFIED291823EK
Depositing User: Tajron Jurić
Date Deposited: 04 Jan 2017 13:29
DOI: 10.1007/JHEP09(2015)025

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