Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole.
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| Title: | Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole. |
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| Authors: | Larbi, Mohamed Aimen1,2 (AUTHOR) mohamedaimen.larbi@univ-batna.dz, Zaim, Slimane2 (AUTHOR) zaim69slimane@yahoo.com, Touati, Abdellah3 (AUTHOR) touati.abph@gmail.com |
| Source: | Modern Physics Letters A. 6/28/2025, Vol. 40 Issue 19/20, p1-15. 15p. |
| Subjects: | Noncommutative geometry, Geodesic motion, Geodesic equation, Pseudopotential method, Black holes, Geodesics |
| Abstract: | In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the noncommutative parameter Θ. Additionally, we obtain the corresponding deformed effective potentials and the non-commutative geodesic equations for massive particles. Through the analysis of time-like noncommutative geodesics for various values of Θ , we demonstrate that the circular geodesic orbits of the noncommutative Schwarzschild-Anti-de Sitter black hole exhibit greater stability compared to those of the commutative one. Furthermore, we derive corrections to the perihelion deviation angle per revolution as a function of Θ. By applying this result to the perihelion precession of Mercury and utilizing experimental data, we establish a new upper bound on the noncommutative parameter, estimated to be on the order of 1 0 − 6 6 m 2 . [ABSTRACT FROM AUTHOR] |
| Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 185308935 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Larbi%2C+Mohamed+Aimen%22">Larbi, Mohamed Aimen</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> mohamedaimen.larbi@univ-batna.dz</i><br /><searchLink fieldCode="AR" term="%22Zaim%2C+Slimane%22">Zaim, Slimane</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> zaim69slimane@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22Touati%2C+Abdellah%22">Touati, Abdellah</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> touati.abph@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+A%22">Modern Physics Letters A</searchLink>. 6/28/2025, Vol. 40 Issue 19/20, p1-15. 15p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Noncommutative+geometry%22">Noncommutative geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Geodesic+motion%22">Geodesic motion</searchLink><br /><searchLink fieldCode="DE" term="%22Geodesic+equation%22">Geodesic equation</searchLink><br /><searchLink fieldCode="DE" term="%22Pseudopotential+method%22">Pseudopotential method</searchLink><br /><searchLink fieldCode="DE" term="%22Black+holes%22">Black holes</searchLink><br /><searchLink fieldCode="DE" term="%22Geodesics%22">Geodesics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this work, we derive non-commutative corrections to the Schwarzschild-Anti-de Sitter solution up to the first and second orders of the noncommutative parameter Θ. Additionally, we obtain the corresponding deformed effective potentials and the non-commutative geodesic equations for massive particles. Through the analysis of time-like noncommutative geodesics for various values of Θ , we demonstrate that the circular geodesic orbits of the noncommutative Schwarzschild-Anti-de Sitter black hole exhibit greater stability compared to those of the commutative one. Furthermore, we derive corrections to the perihelion deviation angle per revolution as a function of Θ. By applying this result to the perihelion precession of Mercury and utilizing experimental data, we establish a new upper bound on the noncommutative parameter, estimated to be on the order of 1 0 − 6 6 m 2 . [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1142/S0217732325500609 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 15 StartPage: 1 Subjects: – SubjectFull: Noncommutative geometry Type: general – SubjectFull: Geodesic motion Type: general – SubjectFull: Geodesic equation Type: general – SubjectFull: Pseudopotential method Type: general – SubjectFull: Black holes Type: general – SubjectFull: Geodesics Type: general Titles: – TitleFull: Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Larbi, Mohamed Aimen – PersonEntity: Name: NameFull: Zaim, Slimane – PersonEntity: Name: NameFull: Touati, Abdellah IsPartOfRelationships: – BibEntity: Dates: – D: 28 M: 06 Text: 6/28/2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 02177323 Numbering: – Type: volume Value: 40 – Type: issue Value: 19/20 Titles: – TitleFull: Modern Physics Letters A Type: main |
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