Observers and Splitting Structures in Relativistic Electrodynamics
by Bernhard Auchmann, Stefan Kurz
Publisher: arXiv 2014
Number of pages: 93
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.
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by David Waite
This is a textbook on theories of special and general relativity. It is assumed that the reader has an understanding of mathematics through calculus and partial differential equations. The relevant tensor calculus is presented throughout as needed.
by Ludwik Silberstein - D. Van Nostrand
The first six lectures are devoted to Special Relativity, and the remaining ones to Einstein's General Relativity and Gravitation Theory and to relativistic Electromagnetism. Due attention is given to the critically conceptual side of the subject.
by G. B. Jeffery - Methuen & Company
Contents: The origins of the theory; Michelson-Morley experiment and the Lorentz transformation; Laws of motion and electro-magnetism; Restricted principle of relativity and some consequences; Equivalence hypothesis; Four-dimensional continuum; etc.
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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.