Observers and Splitting Structures in Relativistic Electrodynamics

This PDF covers the following topics related to Observers and
Splitting Structures in Relativistic Electrodynamics : Introduction,
Pre-Metric Setting, Fiber bundles: world-lines in space-time,, Principal
bundles: introducing time-translation, The fundamental field map: populating
the principal bundle, Ehresmann connection: families of space platforms,
Parametric fields: mapping fields to the observer’s space, Derivatives in
the base manifold: Christoffel form, curvature, and variance, The
relativistic splitting structure, Equivalent splitting structures:
transitions between fiber charts, Electromagnetism in the pre-metric
setting, Main concepts in their component representation, Metric Setting,
Regular relativistic splittings, Vacuum constitutive relations and
energy-momentum balance, Metric in nonregular splittings, Kinematic
parameters of observers, Classification of observers and of splitting
structures, Proxies for Lie-(co)algebra valued fields, Applications,
Ehrenfest paradox, Schiff’s “Question in General Relativity”.

**Author(s):** Bernhard Auchmann,
Stefan Kurz

93 Pages