Electromagnetic radiation in even-dimensional spacetimes

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 ${\cal F}^{(2n)}_{\mu\nu}$duetoapointchargelivingina$2n$-dimensional world can be algebraically expressed in terms of the retarded vector potentials ${\mathcal{A}}_{\mu }^{(2m)}$ generated by this charge as if it were accommodated in $2m$-dimensional worlds nearby, $2\le m\le n+1$. With this finding, the rate of radiated energy-momentum of the electromagnetic field takes a compact form.