On the various aspects of electromagnetic potentials in spacetimes with symmetries

Understand

We revise and generalize the properties of the electric and the magnetic scalar potentials in spacetimes admitting a Killing vector field: Their constancy on the Killing horizons, uniqueness of solution for the electromagnetic test fields and the relation between the Bianchi identity and Maxwell's equations.

• In each of these examples, collinearity of currents with the Killing vector field is shown to be the crucial property.