The Motion of Small Bodies in Space-Time
- Author(s): Geroch, R
- Weatherall, JO
- et al.
Published Web Locationhttps://arxiv.org/abs/1707.04222
© 2018, Springer-Verlag GmbH Germany, part of Springer Nature. 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.