The Sources of the A and B Degenerate Static Vacuum Fields

Details The Sources of the A and B Degenerate Static Vacuum Fields The Sources of the A and B Degenerate Static Vacuum Fields

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996gregr..28.1309m&link_type=abstract

General Relativity and Gravitation, Volume 28, Issue 11, pp.1309-1320

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Weyl Metric, Line Mass Source

Scientific paper

We study some known static vacuum solutions of Einstein's equations, namely, the A and B metrics of Ehlers and Kundt. All of them have axial symmetry, so they can be transformed to the Weyl form. In Weyl coordinates log √-g 44 obeys a Laplace equation, and from this a source, calledthe Newtonian image source, can be identified. We use the image sources to give a possible interpretation to the metrics. The procedure is successful in some cases. In others it fails because the Weyl transform does not have reasonable properties at infinity.

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