Accelerated Observers in Electrodynamics - What can they do for you?

Prof. Stefan Kurz, Robert Bosch GmbH and Tampere University of Technology

21 Jul 2014, 16:15–17:45; Location: S2|17-103

We introduce a relativistic splitting structure as a means to map fields and equations of electromagnetism from curved four-dimensional spacetime 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.

Category: CE Seminar


Technische Universität Darmstadt

Graduate School CE
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D-64293 Darmstadt

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