Session 6: Cosmology and Relativity

Title: U(1) gauge invariant field equations on k=1 Robertson-Walker Universe
Author(s): C.Dariescu, M.-A. Dariescu (Oral)

We start with an U(1) gauge invariant tetradic formulation of the Klein-Gordon-Maxwell system of equations on spatially closed Robertson-Walker spacetimes. For the matter-dominated Universe, a compact timelike coordinate is introduced in analysing the general form of the complex scalar field solutions of Gordon equation. It technically follows that each parity given state is conformally built up of three Einateinian particle states (i.e. the ones unambigously defined in Einstein's static Universe). Finally, we derive non-trivial closed form solutions of the sourceless Maxwell equations, pointing out a kind of almost universal geometrodynamically generated burst of electromagnetic radiation.