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Covariance and gauge invariance in C...

Rakotomanana, Lalaonirina R.

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Covariance and gauge invariance in Continuum Physics = application to mechanics, gravitation, and electromagnetism /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Covariance and gauge invariance in Continuum Physics/ by Lalaonirina R. Rakotomanana.
其他題名:	application to mechanics, gravitation, and electromagnetism /
作者:	Rakotomanana, Lalaonirina R.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xi, 325 p. :ill., digital ;24 cm.
內容註:	General introduction -- Basic concepts on manifolds, spacetimes, and calculus of variations -- Covariance of Lagrangian density function -- Gauge invariance for gravitation and gradient continuum -- Topics in continuum mechanics and gravitation -- Topics in gravitation and electromagnetism -- General conclusion -- Annexes.
Contained By:	Springer eBooks
標題:	Field theory (Physics) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-91782-5
ISBN:	9783319917825

Covariance and gauge invariance in Continuum Physics = application to mechanics, gravitation, and electromagnetism /
Rakotomanana, Lalaonirina R.

Covariance and gauge invariance in Continuum Physicsapplication to mechanics, gravitation, and electromagnetism /[electronic resource] :by Lalaonirina R. Rakotomanana. - Cham :Springer International Publishing :2018. - xi, 325 p. :ill., digital ;24 cm. - Progress in mathematical physics,v.731544-9998 ;. - Progress in mathematical physics ;v.73..

General introduction -- Basic concepts on manifolds, spacetimes, and calculus of variations -- Covariance of Lagrangian density function -- Gauge invariance for gravitation and gradient continuum -- Topics in continuum mechanics and gravitation -- Topics in gravitation and electromagnetism -- General conclusion -- Annexes.

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.

ISBN: 9783319917825

Standard No.: 10.1007/978-3-319-91782-5doiSubjects--Topical Terms:

707053
Field theory (Physics)

LC Class. No.: QC173.7 / .R356 2018

Dewey Class. No.: 530.14

Covariance and gauge invariance in Continuum Physics = application to mechanics, gravitation, and electromagnetism /
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520 $a 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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