Electromagnetic radiation in even-dimensional spacetimes
Abstract
Description
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 ${\cal F}^{(2n)}_{μν}$ due to a point charge living in a $2n$-dimensional world can be algebraically expressed in terms of the retarded vector potentials ${\cal A}^{(2m)}_μ$ 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.
12 pages, no figures, this paper is dedicated to Prof. J. L. Buchbinder in celebration of his sixtieth birthday; v2: minor misprints are corrected, a further relevant reference is added
12 pages, no figures, this paper is dedicated to Prof. J. L. Buchbinder in celebration of his sixtieth birthday; v2: minor misprints are corrected, a further relevant reference is added