2 papers
math.AP2026
A mathematical description of the spin Hall effect of light in inhomogeneous media
Sam C. Collingbourne, Marius A. Oancea, Jan Sbierski
We study Gaussian wave packet solutions for Maxwell's equations in an isotropic, inhomogeneous medium and derive a system of ordinary differential equations that captures the leadi…
gr-qc2025
Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
Marios A. Apetroaie, Sam C. Collingbourne, Elena Giorgi
We study the linearised Einstein--Maxwell equations on the Reissner--Nordström spacetime and derive the canonical energy conservation law in double null gauge. In the spirit of th…