Boost-rotation symmetric spacetimes are exceptional as they are the only exact asymp-
totically flat solutions to the Einstein equations describing spatially bounded sources
(“point-like” particles, black holes) undergoing non-trivial motion (“uniform accelera-
tion”) with radiation. We construct the Newtonian limit of these spacetimes: it yields
fields of uniformly accelerated sources in classical mechanics. We also study the special-
relativistic limit of
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