2019/12/15 by Abdelkader Yanallah, Yanallah, Abdelkader
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories
paper · pdf · doi:10.48550/arxiv.1912.07034
openalex publication_date 2019/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work we have obtained the exact quantum expressions for the compenents of the Levi Cevita connection, the Ricci tensor and the scalar curvature, generalizing those of \citeCTZX08 for a spherical surface via the noncommutative Moyal star product, and we have established equations describing quantum effect on the geodesic flow equation or auto parallel fields equations. These later are solved for the zero and the first orders of the quantum parameter α when y-symmetry is assumed. We expressed the general system of equations in terms of Fourier modes indexed by the integer p=1,2,...,∞ to understand the interdependence of y modes oscillations.