Abstract
The vacuumC-metric is transformed to Weyl form. In the Weyl representation its sources are a spherical particle and a semi-infinite line mass, with a strut holding them apart. A further transformation, which enlarges the manifold, is carried out. The resulting metric is dynamic, with sources consisting of two spherical particles uniformly accelerated by a spring between them. An analysis of advanced and retarded potentials in the enlarged manifold reveals a close analogy with the Born solution for accelerated charges in electrodynamics.
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Bonnor, W.B. The sources of the vacuumC-metric. Gen Relat Gravit 15, 535–551 (1983). https://doi.org/10.1007/BF00759569
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DOI: https://doi.org/10.1007/BF00759569