Title: The Motion of Small Bodies in Space-time,
Abstract: We consider the motion of small bodies in general relativity. The key result
captures a sense in which such bodies follow timelike geodesics (or, in the
case of charged bodies, Lorentz-force curves). This result clarifies the
relationship between approaches that model such bodies as distributions
supported on a curve, and those that employ smooth fields supported in small
neighborhoods of a curve. This result also applies to "bodies" constructed from
wave packets of Maxwell or Klein-Gordon fields. There follows a simple and
precise formulation of the optical limit for Maxwell fields.