Motion of Spinning and Spinning De- viation Density Tensors in Riemannian Geometry
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Date
2022-09
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Abstract
Equations of motion of spinning density for extended objects, and corresponding
deviation equations are derived. The problem of motion for a variable mass to a spinning
extended object is obtained. Spinning fluids may be considered as a special case to express the
motion of spinning density for extended objects. Meanwhile, spinning density tensor can be
expressed in terms of tetrad formalism of General Relativity to be regarded as a gauge theory
of gravity. Equations of spinning and spinning deviation density tensors have been derived
using a specific type of Bazanski Lagrangian is performed.