Covariance and Gauge Invariance in Continuum Physics - Application to Mechanics, Gravitation, and Electromagnetism (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Mathematical Physics, 73
Release date:	July 2018
First published:	2018
Authors:	Lalaonirina R. Rakotomanana
Dimensions:	235 x 155 x 25mm (L x W x T)
Format:	Hardcover
Pages:	325
Edition:	1st ed. 2018
ISBN-13:	978-3-319-91781-8
Categories:	Books > Science & Mathematics > Physics > General Books > Professional & Technical > Mechanical engineering & materials > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-319-91781-1
Barcode:	9783319917818

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