Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime: II. Applications: Rotating Frames, Sagnac Effect, Faraday Rotation, Wrap-up Effect

TL;DR

This paper applies a non-inertial frame theory in Minkowski spacetime to analyze rotating systems, the Sagnac effect, and electromagnetic phenomena like Faraday rotation, providing a comprehensive understanding of these effects in relativistic contexts.

Contribution

It extends the previous non-inertial frame theory to practical systems, offering a coordinate-singularity-free description of rotating frames and electromagnetic effects in astrophysics.

Findings

Coordinate-singularities avoided in rotating disk description

Analysis of the Sagnac effect in relativistic rotating frames

Insights into Faraday rotation and wrap-up effects in astrophysics

Abstract

We apply the theory of non-inertial frames in Minkowski space-time, developed in the previous paper, to various relevant physical systems. We give the 3+1 description without coordinate-singularities of the rotating disk and the Sagnac effect, with added comments on pulsar magnetosphere and on a relativistic extension of the Earth-fixed coordinate system. Then we study properties of Maxwell equations in non-inertial frames like the wrap-up effect and the Faraday rotation in astrophysics.