Equations of Motion for Charged Spinning Fluid in Bi-metric Type Theories of Gravity

Abstract

The General theory of relativity is one of the most successful theories ofgravity. Despite its successful applications, it has some difficulties in examiningthe behaviour of particles precisely in strong gravitational fields. Bi-metric typetheories of gravity are classified as alternative theories of gravity that describingsuch strong gravitational fields, such as the gravitational field formed at the coreof our galaxy. In order to obtain the equations of motion for spinning fluids, weuse the Weyssenhoff tensor to express the spin fluid. The equations of motion forspinning fluids are derived using Euler-Lagrange equation. We present theequations of motion for spinning fluids and their corresponding spin deviationequations in some classes of Bi-metric type theories. Also, we obtain equationsof motion for spinning fluids and their corresponding spin deviation for avariable mass. Moreover, we extend our study to examine the status of motionfor spinning charged fluids and their corresponding spin deviation equations.