Covariance and Gauge Invariance in Continuum Physics is popular PDF and ePub book, written by Lalaonirina R. Rakotomanana in 2018-07-04, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Covariance and Gauge Invariance in Continuum Physics can be Read Online from any device for your convenience.
Covariance and Gauge Invariance in Continuum Physics Book PDF Summary
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.
Detail Book of Covariance and Gauge Invariance in Continuum Physics PDF
- Author : Lalaonirina R. Rakotomanana
- Release : 04 July 2018
- Publisher : Springer
- ISBN : 9783319917825
- Genre : Science
- Total Page : 332 pages
- Language : English
- PDF File Size : 10,5 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Covariance and Gauge Invariance in Continuum Physics by Lalaonirina R. Rakotomanana, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.