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 agood a platform used to interpret the infrastructure of physical phenomena,especially for relativistic applications. Accordingly it is worthy to study spinningfluids in the context of this geometry that would share their benefits incosmological applications. Equations of motion of spinning fluids and theircorresponding deviation equations are obtained. The problem of motion forstudying a fluid with a variable mass is also obtained. The set of Equations ofspinning fluids and spinning deviation fluids equations for some classes of theFinslerian geometry have been derived, using a modified type of the BazanskiLagrangian. Due to the richness of the Finslerian geometry, a new perspective forrevisiting the problem of stability is based on solving the deviation equations ofspinning fluids in strong fields of gravity is performed. Such a problem has adirect application on examining the stability of accretion disk orbiting Sgr A*.