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291925

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

Article

Last updated: 05 Jan 2025

Subjects

-

Tags

General Engineering

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.

DOI

10.21608/msaeng.2023.291925

Keywords

Bi-metric type theories, Geodesic deviation, Spin density deviation, Charged spinning fluid

Authors

First Name

Magd

Last Name

Kahil

MiddleName

Elias

Affiliation

MSA university

Email

mkahil@msa.edu.eg

City

-

Orcid

0000-0002-9504-0173

First Name

Samah

Last Name

Ammar

MiddleName

Abdel-aziz

Affiliation

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

Email

samah.ammar@women.asu.edu.eg

City

Cairo

Orcid

0000-0003-4356-4300

First Name

Shymaa

Last Name

Refaey

MiddleName

Ahmad

Affiliation

Mathematics Department- Faculty of Girls - Ain Shams University

Email

shymaa_refaey@women.asu.edu.eg

City

Cairo

Orcid

0009-0000-4227-6839

Volume

2

Article Issue

2

Related Issue

40382

Issue Date

2023-03-01

Receive Date

2023-03-23

Publish Date

2023-03-01

Page Start

973

Page End

997

Print ISSN

2812-5339

Online ISSN

2812-4928

Link

https://msaeng.journals.ekb.eg/article_291925.html

Detail API

https://msaeng.journals.ekb.eg/service?article_code=291925

Order

291,925

Type

Original Article

Type Code

2,183

Publication Type

Journal

Publication Title

MSA Engineering Journal

Publication Link

https://msaeng.journals.ekb.eg/

MainTitle

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

Details

Type

Article

Created At

28 Dec 2024