| 书目名称 | Covariance and Gauge Invariance in Continuum Physics |
| 副标题 | Application to Mecha |
| 编辑 | Lalaonirina R. Rakotomanana |
| 视频video | http://file.papertrans.cn/240/239188/239188.mp4 |
| 概述 | Presents a Lagrangian approach model to formulate various fields of continuum physics.Extends the classical theories based on Riemann geometry to Riemann-Cartan geometry.Describes non-homogeneous cont |
| 丛书名称 | Progress in Mathematical Physics |
| 图书封面 |  |
| 描述 | .This book presents a Lagrangian approach model to formulate various fields of continuum physics, ranging from gradient continuum elasticity to relativistic gravito-electromagnetism. It extends the classical theories based on Riemann geometry to Riemann-Cartan geometry, and then describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation...It investigates two aspects of invariance of the Lagrangian: covariance of formulation following the method of Lovelock and Rund, and gauge invariance where the active diffeomorphism invariance is considered by using local Poincaré gauge theory according to the Utiyama method...Further, it develops various extensions of strain gradient continuum elasticity, relativistic gravitation and electromagnetism when the torsion field of the Riemann-Cartan continuum is not equal to zero. Lastly, it derives heterogeneous wave propagation equations within twisted and curved manifolds and proposes a relation between electromagnetic potential and torsion tensor.. |
| 出版日期 | Book 2018 |
| 关键词 | covariant lagrangian; gauge invariance; riemann-cartan geometry; continuum mechanics; gravitation; electr |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-91782-5 |
| isbn_softcover | 978-3-030-06298-9 |
| isbn_ebook | 978-3-319-91782-5Series ISSN 1544-9998 Series E-ISSN 2197-1846 |
| issn_series | 1544-9998 |
| copyright | Springer International Publishing AG, part of Springer Nature 2018 |
|Archiver|手机版|小黑屋|
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