Generalised Aichelburg-Sexl and Self-Force for photons

TL;DR

This paper extends the Aichelburg-Sexl tensor to include angular velocity for massless particles and explores the potential for photon self-force effects like frequency shifts.

Contribution

It introduces tensorial spherical harmonics to generalize the Aichelburg-Sexl tensor and advances the concept of photon self-force.

Findings

Generalized Aichelburg-Sexl tensor with angular velocity

Proposed framework for photon self-force and frequency shift

Foundational steps towards photon self-force theory

Abstract

We generalise the Aichelburg-Sexl Stress-Energy-Momentum tensor for massless particles to include motion with angular velocity, introducing tensorial spherical harmonics. Further, we make steps towards the concept of self-force for photons which could manifest as frequency shift.