Testing the quality factor with some approximate solutions to Einstein's equations.

Details Testing the quality factor with some approximate solutions to Einstein's equations. Testing the quality factor with some approximate solutions to Einstein's equations.

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1249g&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 12, pp.1249-1262

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General Relativity

Scientific paper

The quality factor of a metric, defined by Bel as a measure of its approximation to a solution of Einstein's equations, is tested with several well-known approximate solutions. Whereas for some metrics such as the linearized plane wave solutions the quality factor leads to some intriguing results, for others such as the Newtonian and post-Newtonian approximations for the one and two body systems, and also the linearized perturbations of the Friedmann-Robertson-Walker metrics, it seems to lead to very reasonable results.

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