Observers and Splitting Structures in Relativistic Electrodynamics
by Bernhard Auchmann, Stefan Kurz
Publisher: arXiv 2014
Number of pages: 93
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.
Download or read it online for free here:
Download link
(1.3MB, PDF)
Similar books
The Experimental Status of Special and General Relativityby Orfeu Bertolami, Jorge Paramos - arXiv
In this contribution, the authors assess the current experimental status of Special and General Relativity. Particular emphasis is put on putative extensions of these theories and on how these could be detected experimentally.
(9834 views)
Mathematics of Relativity: Lecture Notesby G. Y. Rainich - Edwards Brothers
We may consider Geometry as a first attempt at a study of the outside world. It may be considered as a system which reflects our experiences with features of the outside world, namely features connected with the displacements of rigid bodies.
(7818 views)
All Spacetimes Beyond Einsteinby Frederic P. Schuller - arXiv
Which geometries on a smooth manifold can serve as a spacetime structure? This question is comprehensively addressed from first principles, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold.
(12640 views)
Reflections on Relativity- MathPages
This book examines the evolution of the principle of relativity in its classical, special, and general incarnations, with the aim of showing how it has repeatedly inspired advances in our understanding of the physical world.
(17161 views)