EQUATIONS OF MOTION IN LINEARIZED GRAVITY .2. RUN-AWAY SOURCES

For pt.I see ibid., vol.12, no.7, p.1051 (1979). Following an approach described in an earlier paper the authors study the Robinson-Trautman fields (1962) in linearised gravity having run-away sources. They solve the linearised vacuum Einstein-Maxwell field equations when the run-away source in the background Minkowskian space-time is charged. Functions of integration are determined by the requirement that terms by excluded from the field of the particle which are singular on pairs of null-rays emanating into the future from events on the world-line of the particle in the background space-time. In contradistinction they show that, for an uncharged run-away source, one or other, but not both, of the 'directional' singularities which occur in the field of the particle can be removed.