Field-Particle Dynamics in Spacetime Geometries

TL;DR

This paper develops a framework using Fermi-Walker charts to model relativistic particles with spin, charge, and magnetic moments interacting with electromagnetic and gravitational fields in non-Riemannian geometries.

Contribution

It introduces a novel approach to modeling particles with internal structure in complex spacetime geometries using relativistic balance laws.

Findings

Framework for relativistic particle models with spin and charge

Extension to non-Riemannian geometries and Cosserat media

Potential applications in advanced gravitational and electromagnetic theories

Abstract

With the aid of a Fermi-Walker chart associated with an orthonormal frame attached to a time-like curve in spacetime, a discussion is given of relativistic balance laws that may be used to construct models of massive particles with spin, electric charge and a magnetic moment,interacting with background electromagnetic fields and gravitation described by non-Riemannian geometries. A natural generalisation to relativistic Cosserat media is immediate.