Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime
| dc.creator | Alba, David | |
| dc.creator | Lusanna, Luca | |
| dc.date | 2008-12-16 | |
| dc.date.accessioned | 2026-07-07T12:13:19Z | |
| dc.date.available | 2026-07-07T12:13:19Z | |
| dc.description | By using the 3+1 point of view and parametrized Minkowski theories we develop the theory of {\it non-inertial} frames in Minkowski space-time. The transition from a non-inertial frame to another one is a gauge transformation connecting the respective notions of instantaneous 3-space (clock synchronization convention) and of the 3-coordinates inside them. As a particular case we get the extension of the inertial rest-frame instant form of dynamics to the non-inertial rest-frame one. We show that every isolated system can be described as an external decoupled non-covariant canonical center of mass (described by frozen Jacobi data) carrying a pole-dipole structure: the invariant mass and an effective spin. Moreover we identify the constraints eliminating the internal 3-center of mass inside the instantaneous 3-spaces. In the case of the isolated system of positive-energy scalar particles with Grassmann-valued electric charges plus the electro-magnetic field we obtain both Maxwell equations and their Hamiltonian description in non-inertial frames. Then by means of a non-covariant decomposition we define the non-inertial radiation gauge and we find the form of the non-covariant Coulomb potential. We identify the coordinate-dependent relativistic inertial potentials and we show that they have the correct Newtonian limit. Then we study properties of Maxwell equations in non-inertial frames like the wrap-up effect and the Faraday rotation in astrophysics. Also the 3+1 description without coordinate-singularities of the rotating disk and the Sagnac effect are given, with added comments on pulsar magnetosphere and on a relativistic extension of the Earth-fixed coordinate system. | |
| dc.description | 106 pAGES | |
| dc.identifier | https://arxiv.org/abs/0812.3057 | |
| dc.identifier | http://arxiv.org/abs/0812.3057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210806 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Atomic Physics | |
| dc.title | Charged Particles and the Electro-Magnetic Field in Non-Inertial Frames of Minkowski Spacetime | |
| dc.type | text |