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

Document Type : Original Article

Authors

1 MSA university

2 Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo, Egypt

3 Mathematics Department- Faculty of Girls - Ain Shams University

Abstract

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

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MSA Engineering Journal
Volume 2, Issue 2 - Serial Number 6
Special issue for Artificial Intelligence & Sustainable Engineering Conference: A Path to The Future
March 2023
Pages 973-997

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