Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry
Kahil, M., Ammar, S., Refaey, S. (2023). Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry. EKB Journal Management System, 2(2), 934-951. doi: 10.21608/msaeng.2023.291922
Magd Elias Kahil; Samah Abdel-aziz Ammar; Shymaa Ahmad Refaey. "Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry". EKB Journal Management System, 2, 2, 2023, 934-951. doi: 10.21608/msaeng.2023.291922
Kahil, M., Ammar, S., Refaey, S. (2023). 'Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry', EKB Journal Management System, 2(2), pp. 934-951. doi: 10.21608/msaeng.2023.291922
Kahil, M., Ammar, S., Refaey, S. Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry. EKB Journal Management System, 2023; 2(2): 934-951. doi: 10.21608/msaeng.2023.291922

Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry

MSA Engineering Journal
Volume 2, Issue 2 - Serial Number 6, March 2023, Page 934-951  XML PDF (446.16 K)
Document Type: Original Article
DOI: 10.21608/msaeng.2023.291922
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Authors
Magd Elias Kahilorcid 1; Samah Abdel-aziz Ammarorcid 2; Shymaa Ahmad Refaeyorcid 3
1MSA university
2Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo, Egypt
3Mathematics Department- Faculty of Girls - Ain Shams University
Abstract
 Finsler geometry is a natural extension of the Riemannian geometry and a
good a platform used to interpret the infrastructure of physical phenomena,
especially for relativistic applications. Accordingly it is worthy to study spinning
fluids in the context of this geometry that would share their benefits in
cosmological applications. Equations of motion of spinning fluids and their
corresponding deviation equations are obtained. The problem of motion for
studying a fluid with a variable mass is also obtained. The set of Equations of
spinning fluids and spinning deviation fluids equations for some classes of the
Finslerian geometry have been derived, using a modified type of the Bazanski
Lagrangian. Due to the richness of the Finslerian geometry, a new perspective for
revisiting the problem of stability is based on solving the deviation equations of
spinning fluids in strong fields of gravity is performed. Such a problem has a
direct application on examining the stability of accretion disk orbiting Sgr A*.
Keywords
Finsler geometry; Geodesic deviation; Spin density deviation; Spinning fluid
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