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

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.

This paper and the second one are an adaptation of arXiv 0812.3057 for publication on Int.J.Geom. Methods in Modern Phys. 36p

References in corpus (12)

• Faraday rotation, stochastic magnetic fields and CMB maps
• The York map as a Shanmugadhasan canonical transformation in tetrad gravity and the role of non-inertial frames in the geometrical view of the gravitational field
• Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime: I. Admissible 3+1 Splittings of Minkowski Spacetime and the Non-Inertial Rest Frames
• The rotation of polarization by gravitational waves
• Simultaneity, radar 4-coordinates and the 3+1 point of view about accelerated observers in special relativity
• Search For Gravitational Waves Through the Electromagnetic Faraday Rotation
• Electrodynamics of moving magnetoelectric media: variational approach
• Nonlocal Electrodynamics of Accelerated Systems
• Optical position meters analyzed in the non-inertial reference frames
• The Einstein-Maxwell-Particle System in the York Canonical Basis of ADM Tetrad Gravity: I) The Equations of Motion in Arbitrary Schwinger Time Gauges
• Equivalence Principle and the Principle of Local Lorentz Invariance
• Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime

Cited by in corpus (10)

• Relativistic Quantum Mechanics and Relativistic Entanglement in the Rest-Frame Instant Form of Dynamics
• ADM Pseudotensors, Conserved Quantities and Covariant Conservation Laws in General Relativity
• From Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
• The Rest-Frame Instant Form and Dirac Observables for the Open Nambu String
• Non-Inertial Frames in Minkowski Space-Time, Accelerated either Mathematical or Dynamical Observers and Comments on Non-Inertial Relativistic Quantum Mechanics
• Dark Matter as a Relativistic Inertial Effect in Einstein Canonical Gravity?
• Massless Particles plus Matter in the Rest-Frame Instant Form of Dynamics
• A Relativistic Version of the Two-Level Atom in the Rest-Frame Instant Form of Dynamics
• On Relativistic Entanglement and Localization of Particles and on their Comparison with the Non-Relativistic Theory
• Relativistic Entanglement from Relativistic Quantum Mechanics in the Rest-Frame Instant Form of Dynamics