Simple derivation of the Generalized Moller-Wu-Lee transformations.Born rigid constant accelerated motion on a curved Lorentzian manifold

TL;DR

This paper presents a straightforward derivation of the generalized Moller-Wu-Lee transformations, demonstrating their applicability to both flat and curved spacetimes with classical and distributional sources, extending Born's concept of rigid motion.

Contribution

It introduces a simple derivation method for the transformations and shows their validity in complex curved spacetimes with distributional sources.

Findings

Derivation of generalized Moller-Wu-Lee transformations from a master equation

Application of Born's rigid motion in curved and flat spacetimes

Extension to spacetimes with distributional sources

Abstract

Simple derivation of the classical generalized Moller-Wu-Lee transformations from general master equation is presented.We will argue that in fact we can implement Born's notion of rigid motion in both flat spacetime and arbitrary curved non-holonomic spacetimes containing classical and Colombeau's distributional sources.