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

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*.