Equations of Motion for Charged Spinning Fluid in Bi-metric Type Theories of Gravity | ||
MSA Engineering Journal | ||
Volume 2, Issue 2 - Serial Number 6, March 2023, Pages 973-997 PDF (553.98 K) | ||
Document Type: Original Article | ||
DOI: 10.21608/msaeng.2023.291925 | ||
Authors | ||
Magd Elias Kahil1; Samah Abdel-aziz Ammar2; Shymaa Ahmad Refaey3 | ||
1MSA university | ||
2Department of Mathematics, Faculty of Girls, Ain Shams University, Cairo, Egypt | ||
3Mathematics 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. | ||
Keywords | ||
Bi-metric type theories; Geodesic deviation; Spin density deviation; Charged spinning fluid | ||
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