Path Deviation Equations in AP-Geometry

dc.AffiliationOctober University for modern sciences and Arts (MSA)
dc.contributor.authorI. Wanas, M.
dc.contributor.authorE. Kahil, M.
dc.date.accessioned2020-02-01T10:22:42Z
dc.date.available2020-02-01T10:22:42Z
dc.date.issued2005
dc.descriptionMSA Google Scholaren_US
dc.description.abstractRecently, it has been shown that Absolute Parallelism (AP) geometry admits paths that are naturally quantized. These paths have been used to describe the motion of spinning particles in a background gravitational field. In case of a weak static gravitational field limits, the paths are applied successfully to interpret the discrepancy in the motion of thermal neutrons in the Earth’s gravitational field (COW-experiment). The aim of the present work is to explore the properties of the deviation equations corresponding to these paths. In the present work the deviation equations are derived and compared to the geodesic deviation equation of the Riemannian geometry.en_US
dc.description.sponsorshiparXiv.org e-Print archiveen_US
dc.identifier.citation[1] Wanas, M.I. and Bakry, M.A. (1995) Astrophys. Space Sci., 228, 239. [2] Gurzadyan, V.G. (2003) Talk at XXII Solvey Conference on Physics (Delphi, Nov.24-29,2001); astro-ph/0312523. [3] Bazanski, S.L. (1989) J. Math. Phys., 30, 1018. [4] Wanas, M.I. (2001) Stud. Cercet. S¸tiint¸. Ser. Mat. Univ. Bac˘au 10,297; gr-qc/0209050. [5] Wanas, M.I., Melek, M. and Kahil, M.E. (1995) Astrophys. Space Sci., 228, 5 273; gr-qc/0207113. [6] Wanas, M.I. and Kahil, M.E. (1999) Gen. Rel. Grav., 31, 1921; gr-qc/9912007. [7] Wanas, M.I. (2003) Algebras, Groups and Geometries, 20, 345a. [8] Wanas, M.I. (1998) Astrophys. Space Sci., 258, 237; gr-qc/9904019. [9] Wanas, M.I., Melek, M. and Kahil, M.E. (2000) Gravit. Cosmol., 6, 319; gr-qc/9812085. [10] Sousa, A.A. and Maluf, J.W. (2004) Gen. Rel. Grav., 36, 967; gr-qc/0301131. [11] Wanas, M.I., Melek, M. and Kahil, M.E. (2002) Proc. MG IX, p.1100, Eds. V.G. Gurzadyan et al. (World Scientific Pub.); gr-qc/0306086. [12] Wanas, M.I. (2003) Gravit. Cosmol., 9, 109.en_US
dc.identifier.urihttps://t.ly/bjMEA
dc.language.isoenen_US
dc.publisherarXiv.org e-Print archiveen_US
dc.relation.ispartofseriesThe Tenth Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (In 3 Volumes);
dc.relation.ispartofseries;In 3 Volumes Pages: 1440-1445
dc.subjectUniversity of Path Deviationen_US
dc.titlePath Deviation Equations in AP-Geometryen_US
dc.typeArticleen_US

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