Finding solutions to Einstein's equations in terms of invariant objects

Details Finding solutions to Einstein's equations in terms of invariant objects Finding solutions to Einstein's equations in terms of invariant objects

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13.3021b&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 11, pp. 3021-3037 (1996).

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Scientific paper

The method for constructing geometries in terms of a set consisting of the curvature tensor and a finite number of its covariant derivatives is extended to determine the isometry group and to find the full line-element. Comparisons are made with other tetrad methods. Two perfect fluid examples with LRS are given to illustrate the formalism: one static, conformally flat case and one stationary, rotating case with vanishing magnetic part of the Weyl tensor.

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