Inequivalent metrics with equal spin coefficients

Details Inequivalent metrics with equal spin coefficients Inequivalent metrics with equal spin coefficients

Jan 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gregr..14...49k&link_type=abstract

General Relativity and Gravitation, Volume 14, Issue 1, pp.49-52

Physics

1

Scientific paper

The spin coefficients, the curvature tensor, and the first covariant derivative of the curvature tensor are shown to be insufficient for a complete description of a gravitational field. The inadequacy of the description becomes evident when a set of (unphysical) inequivalent metrics is constructed which cannot be distinguished by only examining these entities. The inequivalence manifests itself in the second covariant derivative.

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