Determination of the metric from the curvature

Details Determination of the metric from the curvature Determination of the metric from the curvature

Aug 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..799q&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 8, pp.799-819

Physics

2

Scientific paper

A method of calculating the metric from the curvature is presented. Assuming that a tensor with the symmetry properties of a type D curvature tensor is given in an orthonormal tetrad, we use the Bianchi identities and the relationship between the connection and the tetrad in order to calculate, under certain assumptions, the corresponding metric. Some well-known metrics are derived from the curvature by using the method given here.

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