Characterization of standard clocks by means of light rays and freelyfalling particles.

Details Characterization of standard clocks by means of light rays and freelyfalling particles. Characterization of standard clocks by means of light rays and freelyfalling particles.

Nov 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987gregr..19.1059p&link_type=abstract

General Relativity and Gravitation, Volume 19, Issue 11, pp.1059-1073

Mathematics

8

General Relativity, Relativity Theory

Scientific paper

A mathematical characterization of standard clocks (i.e., clocks measuring proper time) is presented, which yields an experimental method to test whether or not a given clock is a standard clock. The only tools needed are light rays and freely falling particles. For this reason our method fits very well in the framework of the axiomatic approach to space-time theory given by Ehlers, Pirani, and Schild [1], where just light rays and freely falling particles are used as primitive concepts. As the underlying space-time model we use a Weyl manifold (instead of a Lorentz manifold, which is the usual model of general relativity); this generalization is motivated by [1].

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