``Meta''-rigid motions and frames of reference

Details ``Meta''-rigid motions and frames of reference ``Meta''-rigid motions and frames of reference

Oct 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995gregr..27.1089b&link_type=abstract

General Relativity and Gravitation, Volume 27, Issue 10, pp.1089-1110

Physics

10

Scientific paper

We define the “meta”-rigid motions as particular classes of time-like congruences which are solutions of intrinsically defined partial differential equations that generalize Born's conditions. We consider in particular two hierarchies of such congruences. The first one is a geometrically motivated direct generalization of the symmetry concept inherent in Born congruences. The second one is an indirect generalization based on the conditions which guarantee the existence of a particular class of adapted coordinates of space, named quo-harmonic coordinates, whose definition is akin to the definition of harmonic coordinates but which differs from it in an essential point.

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