Téléchargez le livre : Covariance and Gauge Invariance in Continuum Physics

Covariance and Gauge Invariance in Continuum Physics

Application to Mechanics, Gravitation, and Electromagnetism de

Éditeur :

Birkhäuser


Collection :

Progress in Mathematical Physics

Paru le : 2018-07-04

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Description


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.
Pages
325 pages
Collection
Progress in Mathematical Physics
Parution
2018-07-04
Marque
Birkhäuser
EAN papier
9783319917818
EAN PDF
9783319917825
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
32
Taille du fichier
5366 Ko
Prix
112,30 €

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