Description: Covariance and Gauge Invariance in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism, Hardcover by Rakotomanana, Lalaonirina R., ISBN 3319917811, ISBN-13 9783319917818, Like New Used, Free shipping in the US
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 Poincar 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.
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Book Title: Covariance and Gauge Invariance of Lagrangian in Continuum Physics : Application to Mechanics, Gravitation, and Electromagnetism
Number of Pages: Xi, 325 Pages
Language: English
Publisher: Springer International Publishing A&G
Topic: Mechanics / Solids, Physics / Mathematical & Computational, Physics / General
Publication Year: 2018
Illustrator: Yes
Genre: Science
Item Weight: 23.8 Oz
Author: Lalaonirina Rakotomanana Ravelonarivo
Item Length: 9.3 in
Book Series: Progress in Mathematical Physics Ser.
Item Width: 6.1 in
Format: Hardcover
