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arXiv · 0803.3304

Electromagnetic radiation in even-dimensional spacetimes

B. P. Kosyakov
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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 ${\cal F}^{(2n)}_{\mu\nu}$ due to a point charge living in a $2n$-dimensional world can be algebraically expressed in terms of the retarded vector potentials ${\cal A}^{(2m)}_{\mu}$ 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.

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B. P. Kosyakov. 2008-03-23. Electromagnetic radiation in even-dimensional spacetimes. https://doi.org/10.1142/s0217751x08041451

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