Generalised Aichelburg-Sexl and Self-Force for photons

2025/07/01 by Dib, Abedennour, Garnier, Aymeric, Spallicci, Alessandro
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2507.00767

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.

Citations

• Analytical self-force on scalar particle in eccentric orbits around a Schwarzschild black hole
• Constructing the self-force
• Derivation of Gravitational Self-Force
• The motion of point particles in curved spacetime
• Stability of a Schwarzschild Singularity

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• Derivation of the self-interaction force on an arbitrarily moving point-charge and of its related energy-momentum radiation rate: The Lorentz-Dirac equation of motion in a Colombeau algebra
• Constructing the self-force
• A unified theory correcting Einstein-Laub electrodynamics solves dilemmas in the photon momenta and electromagnetic stress tensors