Normal frames and linear transports along paths in line bundles. Applications to classical electrodynamics

TL;DR

This paper explores the concept of normal frames and linear transports in line bundles, applying the formalism to classical electrodynamics and discussing inertial frames within this geometric framework.

Contribution

It introduces a formalism for linear transports and normal frames in line bundles and applies it to the geometric description of classical electrodynamics.

Findings

Normal frames are characterized in line bundles.

The formalism is applied to classical electrodynamics.

Inertial frames are discussed within this geometric context.

Abstract

The definitions and some basic properties of the linear transports along paths in vector bundles and the normal frames for them are recalled. The formalism is specified on line bundles and applied to a geometrical description of the classical electrodynamics. The inertial frames for this theory are discussed.