Description: Covariance and Gauge Invariance in Continuum Physics Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Application to Mechanics, Gravitation, and Electromagnetism Author(s): Lalaonirina R. Rakotomanana Format: Paperback Publisher: Springer Nature Switzerland AG, Switzerland Imprint: Springer Nature Switzerland AG ISBN-13: 9783030062989, 978-3030062989 Synopsis 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 Poincare 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 in Continuum Physics
Subject Area: Mechanical Engineering
Item Height: 235 mm
Item Width: 155 mm
Series: Progress in Mathematical Physics
Author: Lalaonirina R. Rakotomanana
Publication Name: Covariance and Gauge Invariance in Continuum Physics: Application to Mechanics, Gravitation, and Electromagnetism
Format: Paperback
Language: English
Publisher: Springer Nature Switzerland A&G
Subject: Physics
Publication Year: 2018
Type: Textbook
Item Weight: 522 g
Number of Pages: 325 Pages
