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{open_quotes}Meta{close_quotes}-rigid motions and frames of reference

Journal Article · · General Relativity and Gravitation
DOI:https://doi.org/10.1007/BF02148649· OSTI ID:136406
;  [1]
  1. Universite Pierre et Marie Curie, Paris (France)

We define the {open_quotes}meta{close_quotes}-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.

Sponsoring Organization:
USDOE
OSTI ID:
136406
Journal Information:
General Relativity and Gravitation, Journal Name: General Relativity and Gravitation Journal Issue: 10 Vol. 27; ISSN 0001-7701; ISSN GRGVA8
Country of Publication:
United States
Language:
English

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