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ELECTROMAGNETIC RADIATION IN EVEN-DIMENSIONAL SPACE–TIMES

B. P. KOSYAKOV

Russian Federal Nuclear Center, Sarov, 607190 Nizhnii Novgorod Region, Russia

https://doi.org/10.1142/S0217751X08041451Cited by:9 (Source: Crossref)

Abstract

The basic concepts and mathematical constructions of the Maxwell–Lorentz electrodynamics in flat space–time of an arbitrary even dimension d = 2n are briefly reviewed. We show that the retarded field strength due to a point charge living in a 2n-dimensional world can be algebraically expressed in terms of the retarded vector potentials 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.

Keywords:

PACS: 03.50.De, 03.50.Kk

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