Motion of Spinning and Spinning Deviation in Riemannian Geometry

IF 1.2 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Gravitation and Cosmology Pub Date : 2023-06-10 DOI:10.1134/S020228932302007X

Magd E. Kahil, Samah A. Ammar, Shymaa A. Refaey

引用次数: 0

Abstract

Equations of motion of spinning density for extended objects and tthe corresponding deviation equations are derived. The problem of motion for a variable mass of a spinning extended object is obtained. Spinning fluids may be considered as a special case to express the motion of spinning density for extended objects. Meanwhile, the spinning density tensor can be expressed in terms of the tetrad formalism of general relativity to be regarded as a gauge theory of gravity. The equations of spinning and spinning deviation density tensors have been derived using a specific type of Bazanski Lagrangian.

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黎曼几何中纺丝运动和纺丝偏差

导出了扩展物体的旋转密度运动方程和相应的偏差方程。得到了变质量旋转扩展物体的运动问题。旋转流体可以看作是表示扩展物体的旋转密度运动的一种特殊情况。同时，自旋密度张量可以用广义相对论的四分体形式表示，可以看作是引力的规范理论。利用一种特殊类型的巴赞斯基拉格朗日量，导出了自旋和自旋偏差密度张量的方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Gravitation and Cosmology ASTRONOMY & ASTROPHYSICS-

CiteScore

1.70

自引率

22.20%

发文量

审稿时长

>12 weeks

期刊介绍： Gravitation and Cosmology is a peer-reviewed periodical, dealing with the full range of topics of gravitational physics and relativistic cosmology and published under the auspices of the Russian Gravitation Society and Peoplesâ€™ Friendship University of Russia. The journal publishes research papers, review articles and brief communications on the following fields: theoretical (classical and quantum) gravitation; relativistic astrophysics and cosmology, exact solutions and modern mathematical methods in gravitation and cosmology, including Lie groups, geometry and topology; unification theories including gravitation; fundamental physical constants and their possible variations; fundamental gravity experiments on Earth and in space; related topics. It also publishes selected old papers which have not lost their topicality but were previously published only in Russian and were not available to the worldwide research community