Expanding algebraically degenerate vacuum spaces with homothetic motions.

Details Expanding algebraically degenerate vacuum spaces with homothetic motions. Expanding algebraically degenerate vacuum spaces with homothetic motions.

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20..745l&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 8, pp.745-753

Physics

1

General Relativity

Scientific paper

Halford and Kerr [3] and Halford [4] discuss metrics which arise as solutions of Einstein's vacuum field equations and which have an algebraically degenerate Weyl tensor and an expanding repeated principal null direction. A number of the metrics which are explicitly listed appeared to be new. Here all of these explicit metrics are identified, either as well-known metrics or as particular cases of known metrics with arbitrary functions when these functions take various specific forms. Corrections are made to a number of results in these two papers. An overview of the status of homothetic motions in expanding algebraically degenerate vacuum spacetimes is also given.

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