Home Newsletter
News Books
Welcome to FreeScience.info Language/Lingua

Books 3054
· Book News
· Most clicked
· Least clicked

Search for a Book
HELP US TO HELP YOU
Add a new Book

Observers and Splitting Structures in Relativistic Electrodynamics

book
Language:
Author: Bernhard Auchmann, Stefan Kurz
Url: http://arxiv.org/abs/1411.0837v1
Format: Pdf
Year: 2014
Category: Thoery of Relativity
Pages: 93
Clicks: 64

Description
We introduce a relativistic splitting structure as a means to map fields and equations of electromagnetism from curved four-dimensional space-time to three-dimensional observer's space. We focus on a minimal set of mathematical structures that are directly motivated by the language of the physical theory. Space-time, world-lines, time translation, space platforms, and time synchronization all find their mathematical counterparts. The splitting structure is defined without recourse to coordinates or frames. This is noteworthy since, in much of the prevalent literature, observers are identified with adapted coordinates and frames. Among the benefits of the approach is a concise and insightful classification of splitting structures that is juxtaposed to a classification of observers. The application of the framework to the Ehrenfest paradox and Schiff's "Question in General Relativity" further illustrates the advantages of the framework, enabling a compact, yet profound analysis of the problems at hand.

Similar Books
Differential Geometry and Relativity
Special Relativity and Geometry
Classical Electrodynamics and Theory of Relativity
Complex Geometry of Nature and General Relativity
Multi-Linear Algebra and Tensor Calculus in Mathematical Physics
Tensor analysis on differentiable manifolds with applications to relativistic theories
Teoria della Relativita` Speciale: formulazione matematica
An introduction to spinors

Home |  Authors | About | Contact Us |  Email 
 Copyright © 2002-2013 FreeScience.info. 

Best viewed with Mozilla 1.X 1024x768
free scientific books