# electrodynamics in fewer dimensions

23 Feb 2022It is a well-known fact that general relativity needs 4 dimensions to work, one reason being that only in four or more dimensions the Weyl-tensor is non-vanishing and allows propagation of the gravitational field away from the source. Would Maxwellian electrodynamics work in three dimensions? Would there be a similar argument as in relativity? Are there similar requirements for the classical gravitational field described by the Poisson-equation?