Electromagnetic radiation in even-dimensional spacetimes

Abstract

The basic concepts and mathematical constructions of the Maxwell–Lorentz electrodynamics in flat spacetime of an arbitrary even dimension d = 2n are briefly reviewed. We show that the retarded field strength F (2n) µν due to a point charge living in a 2n-dimensional world can be algebraically expressed in terms of the retarded vector potentials A (2m) µ generated by this charge as if it were accommodated in 2m-dimensional worlds nearby, 2 ≤ m ≤ n + 1. With this finding, the rate of radiated energy-momentum of the electromagnetic field takes a compact form

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