Spinning and spinning deviation equations of bi-metric type theories

Kahil, M. E.

doi:10.1007/s12648-020-01793-5

Cited by 2 publications

(6 citation statements)

References 21 publications

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“…(4.84), (5.97) and (5.98). This type of work is regarded an extension to a previous work, obtaining equations of spinning and spinning objects in Riemannian and non-Riemannian geometries, using the Bazanski approach [4][5][6][7][8][9]. Throughout, this study, it has been found the necessity to regard extended objects, the most reliable ones to express the actual nature of objects, rather than relying to a point-like system.…”

Section: Discussionmentioning

confidence: 98%

“…the geodesic equation. The spinning object has been studied by many authors long time ago, Mathisson [1] started the idea; Papapetrou amended its content [2] and then it was developed to include charged objects by Dixon [3], which led many of their followers to obtain the corresponding equations of motion of moving objects in different types of geometries [4][5][6][7][8][9]. Not only these path equations but also their deviation equations play a fundamental role in regulating the stability of objects [10].…”

Section: Clifford Space: Aims and Prospectsmentioning

confidence: 99%

“…Equations of geodesic and geodesic deviation equations in Riemannian geometry are required to examine many problems of motion for different test particles in gravitational fields. This led many authors to derive them by various methods, one of the most applicable ones is the Bazanski approach [27] in which from one single Lagrangian one can obtain simultaneously equation of geodesic and geodesic deviations which has been applied in different theories of gravity [4][5][6][7][8][9],and [28][29][30]. Thus, by analogy this technique in case of Poly-vectors to become [31], to obtain the geodesic deviation equation,…”

Section: The Bazanski Approach For Poly-vectorsmentioning

confidence: 99%

“…Equations geodesic deviation of poly-vector are derived in a way of modifying the conventional Bazanski method, using the commutation relations and a condition between deviation poly-vector and polyvector as well. This method has been worked successfully to derive deviation equation for extended objects with wobbling as shown in [6][7][8][9]. Applying the usual commutation relation [32] on Equation (3.70) we obtain: Thus, we obtain its corresponding geodesic deviation equations In this approach we are going to utilize the famous application for transforming geodesics to spinning object differently [32] to become reliable for charged object.…”

Section: Geodesic and Geodesic Deviation Of C-space: An Alternative Amentioning

confidence: 99%

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Motion in Clifford Space

Kahil¹

2020

JMP

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Section: Discussionmentioning

confidence: 98%

Section: Clifford Space: Aims and Prospectsmentioning

confidence: 99%

Section: The Bazanski Approach For Poly-vectorsmentioning

confidence: 99%

Section: Geodesic and Geodesic Deviation Of C-space: An Alternative Amentioning

confidence: 99%

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Motion in Clifford Space

Kahil¹

2020

JMP

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“…In this section, we will derive the equations of motion for spinning fluids and their corresponding spin deviation in the bi-metric type theories. However, it is worth to mention that the equation of spinning motion for spinning particle for these versions of Bi-metric type theories have been obtained in [29].…”

Section: Equations Of Motion For Spinning Fluids and Its Correspondin...mentioning

confidence: 99%

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

Kahil¹,

Ammar

Refaey

2023

MSA Engineering Journal

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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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Spinning and spinning deviation equations of bi-metric type theories

Cited by 2 publications

References 21 publications

Motion in Clifford Space

Motion in Clifford Space

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

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