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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.
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]
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Database: Engineering Source
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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]
ISSN:02177323
DOI:10.1142/S0217732325500609