Progress in Mathematical Physics

Covariance and Gauge Invariance in Continuum Physics

Application to Mechanics, Gravitation, and Electromagnetism

Authors: RAKOTOMANANA RAVELONARIVO, Lalaonirina

Free Preview
  • Presents a Lagrangian approach model to formulate various fields of continuum physics
  • Extends the classical theories based on Riemann geometry to Riemann-Cartan geometry
  • Describes non-homogeneous continuum and spacetime with torsion in Einstein-Cartan relativistic gravitation
see more benefits

Buy this book

eBook $79.99
$89.00 (listprice)
price for USA in USD (gross)
valid through June 30, 2019
  • ISBN 978-3-319-91782-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
$119.99 (listprice)
price for USA in USD
valid through June 30, 2019
  • ISBN 978-3-319-91781-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $79.99
$89.00 (listprice)
price for USA in USD (gross)
valid through June 30, 2019
  • ISBN 978-3-319-91782-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
$119.99 (listprice)
price for USA in USD
valid through June 30, 2019
  • ISBN 978-3-319-91781-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Covariance and Gauge Invariance in Continuum Physics
Book Subtitle
Application to Mechanics, Gravitation, and Electromagnetism
Authors
Series Title
Progress in Mathematical Physics
Series Volume
73
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-91782-5
DOI
10.1007/978-3-319-91782-5
Hardcover ISBN
978-3-319-91781-8
Series ISSN
1544-9998
Edition Number
1
Number of Pages
XI, 325
Number of Illustrations
26 b/w illustrations, 16 illustrations in colour
Topics