Primordial helium production in a charged universe

We use the constraints arising from primordial nucleosynthesis to bound a putative electric charge density |e|nq of the universe. We find |nq/nγ|≲10−43, four orders of magnitude more stringent than previous limits. We also work out the bounds on nq in models with a photon mass, that allows to have a charge density without large-scale electric fields.