Noncommutative quasinormal modes of Schwarzschild black hole
Abstract We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. r – φ and r – t noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential geometric structures such as curvature tensors are also twist...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP05(2025)083 |
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| author | Nikola Herceg Tajron Jurić A. Naveena Kumara Andjelo Samsarov Ivica Smolić |
| author_facet | Nikola Herceg Tajron Jurić A. Naveena Kumara Andjelo Samsarov Ivica Smolić |
| author_sort | Nikola Herceg |
| collection | DOAJ |
| description | Abstract We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. r – φ and r – t noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential geometric structures such as curvature tensors are also twisted. Noncommutative equations of motion are derived from the recently proposed NC vacuum Einstein equation. Here, in addition to previously calculated axial NC potential, we present the polar solution which generalizes the work done by Zerilli. Quasinormal mode frequencies of the two potentials are calculated using three methods: WKB, Pöschl-Teller and Rosen-Morse. Notably, we apply the WKB method up to the 13th order and determine the optimal order for each noncommutative parameter value individually. Additionally, we provide comprehensive error estimations for the higher-order WKB calculations, offering insights into the accuracy of our results. By comparing the spectra, we conclude that the classical isospectrality of axial and polar modes is broken upon spacetime quantization. Isospectrality is restored in the eikonal limit. |
| format | Article |
| id | doaj-art-74192328087c46ad8e098b28e69dda21 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-74192328087c46ad8e098b28e69dda212025-08-20T03:10:38ZengSpringerOpenJournal of High Energy Physics1029-84792025-05-012025514810.1007/JHEP05(2025)083Noncommutative quasinormal modes of Schwarzschild black holeNikola Herceg0Tajron Jurić1A. Naveena Kumara2Andjelo Samsarov3Ivica Smolić4Rudjer Bošković InstituteRudjer Bošković InstituteRudjer Bošković InstituteRudjer Bošković InstituteDepartment of Physics, Faculty of Science, University of ZagrebAbstract We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. r – φ and r – t noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential geometric structures such as curvature tensors are also twisted. Noncommutative equations of motion are derived from the recently proposed NC vacuum Einstein equation. Here, in addition to previously calculated axial NC potential, we present the polar solution which generalizes the work done by Zerilli. Quasinormal mode frequencies of the two potentials are calculated using three methods: WKB, Pöschl-Teller and Rosen-Morse. Notably, we apply the WKB method up to the 13th order and determine the optimal order for each noncommutative parameter value individually. Additionally, we provide comprehensive error estimations for the higher-order WKB calculations, offering insights into the accuracy of our results. By comparing the spectra, we conclude that the classical isospectrality of axial and polar modes is broken upon spacetime quantization. Isospectrality is restored in the eikonal limit.https://doi.org/10.1007/JHEP05(2025)083Black HolesModels of Quantum GravityNon-Commutative GeometrySpace-Time Symmetries |
| spellingShingle | Nikola Herceg Tajron Jurić A. Naveena Kumara Andjelo Samsarov Ivica Smolić Noncommutative quasinormal modes of Schwarzschild black hole Journal of High Energy Physics Black Holes Models of Quantum Gravity Non-Commutative Geometry Space-Time Symmetries |
| title | Noncommutative quasinormal modes of Schwarzschild black hole |
| title_full | Noncommutative quasinormal modes of Schwarzschild black hole |
| title_fullStr | Noncommutative quasinormal modes of Schwarzschild black hole |
| title_full_unstemmed | Noncommutative quasinormal modes of Schwarzschild black hole |
| title_short | Noncommutative quasinormal modes of Schwarzschild black hole |
| title_sort | noncommutative quasinormal modes of schwarzschild black hole |
| topic | Black Holes Models of Quantum Gravity Non-Commutative Geometry Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP05(2025)083 |
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