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

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arxiv 1505.04068 v3 pith:MHO2N57H submitted 2015-05-15 hep-th gr-qc

Kumar S. Gupta , E. Harikumar , Tajron Jurić , Stjepan Meljanac , Andjelo Samsarov This is my paper · ORCID
classification hep-thgr-qc
keywords blackholequasinormalbackgroundentropymassivemodesnoncommutative
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Spectral Bifurcations in Quasinormal Modes of Regular BTZ Black Holes

    gr-qc 2026-03 conditional novelty 6.0 of 10

    For regular BTZ black holes from an infinite Lovelock tower, scalar quasinormal modes bifurcate from complex BTZ branches into purely imaginary branches as the regularization length ℓ grows, producing mode switching a...

  2. Noncommutativity and the Weak Cosmic Censorship

    hep-th 2019-08 reject novelty 5.0 of 10

    Using a noncommutative duality, the authors claim that a high-energy scalar probe dresses a naked AdS3 singularity as a BTZ black hole, supporting weak cosmic censorship.

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