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291922

Equations of Motion for Spinning Fluids and their Deviation Equations in Finslerian Geometry

Article

Last updated: 05 Jan 2025

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Subjects

-

Tags

General Engineering

Abstract

 Finsler geometry is a natural extension of the Riemannian geometry and a
good a platform used to interpret the infrastructure of physical phenomena,
especially for relativistic applications. Accordingly it is worthy to study spinning
fluids in the context of this geometry that would share their benefits in
cosmological applications. Equations of motion of spinning fluids and their
corresponding deviation equations are obtained. The problem of motion for
studying a fluid with a variable mass is also obtained. The set of Equations of
spinning fluids and spinning deviation fluids equations for some classes of the
Finslerian geometry have been derived, using a modified type of the Bazanski
Lagrangian. Due to the richness of the Finslerian geometry, a new perspective for
revisiting the problem of stability is based on solving the deviation equations of
spinning fluids in strong fields of gravity is performed. Such a problem has a
direct application on examining the stability of accretion disk orbiting Sgr A*.

DOI

10.21608/msaeng.2023.291922

Keywords

Finsler geometry, Geodesic deviation, Spin density deviation, 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

934

Page End

951

Print ISSN

2812-5339

Online ISSN

2812-4928

Article File

MSAENG_Volume 2_Issue 2_Pages 934-951.pdf

PDF . 456.9kB

Link

https://msaeng.journals.ekb.eg/article_291922.html

Detail API

https://msaeng.journals.ekb.eg/service?article_code=291922

Order

291,922

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 Spinning Fluids and their Deviation Equations in Finslerian Geometry

Details

Type

Article

Created At

28 Dec 2024