Covariance and Gauge Invariance in Continuum Physics
Produktnummer:
1854f949ed30ae400992c6427e52fb1b78
| Autor: | R. Rakotomanana, Lalaonirina |
|---|---|
| Themengebiete: | continuum mechanics covariant lagrangian electromagnetism gauge invariance gravitation heterogeneous wave propagation riemann-cartan geometry |
| Veröffentlichungsdatum: | 12.07.2018 |
| EAN: | 9783319917818 |
| Sprache: | Englisch |
| Seitenzahl: | 325 |
| Produktart: | Gebunden |
| Verlag: | Springer International Publishing |
| Untertitel: | Application to Mechanics, Gravitation, and Electromagnetism |
Produktinformationen "Covariance and Gauge Invariance in Continuum Physics"
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.
Sie möchten lieber vor Ort einkaufen?
Sie haben Fragen zu diesem oder anderen Produkten oder möchten einfach gerne analog im Laden stöbern? Wir sind gerne für Sie da und beraten Sie auch telefonisch.
Juristische Fachbuchhandlung
Georg Blendl
Parcellistraße 5 (Maxburg)
8033 München
Montag - Freitag: 8:15 -18 Uhr
Samstags geschlossen