Mathematics – Logic
Scientific paper
Aug 1966
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1966phrv..148.1264c&link_type=abstract
Physical Review, vol. 148, Issue 4, pp. 1264-1268
Mathematics
Logic
11
Scientific paper
In addition to their "Machian" effects on inertial frames, rotating bodies also have "Machian" effects on electromagnetic fields. It is well known that a rotating charged shell in flat space exhibits an electromagnetic field within it. However, if this rotating charged shell is surrounded by a (concentric) slowly rotating mass shell which rotates with the same angular velocity, the electromagnetic field within the charged shell decreases as the mass of the outer shell increases. Finally, as the gravitational radius approaches the radius of the mass shell, the electromagnetic field within the rotating charged shell vanishes. If in this limit the two shells rotate with different angular velocities, one cannot distinguish (even with electromagnetic fields reaching beyond the mass shell) whether the charged shell is rotating or the mass shell is rotating in the opposite direction. Therefore, in a certain cosmological model of our universe, the electromagnetic field within a rotating charged shell vanishes when the latter rotates with the same angular velocity as the bulk of the matter in the universe.
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