Gravitational redshift in a local freely falling frame: A proposed new null test of the equivalence principle

Details Gravitational redshift in a local freely falling frame: A proposed new null test of the equivalence principle Gravitational redshift in a local freely falling frame: A proposed new null test of the equivalence principle

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.1735k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 4, 15 February 1996, pp.R1735-R1739

Physics

5

Fundamental Problems And General Formalism, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Experimental Tests Of Gravitational Theories

Scientific paper

We consider the gravitational redshift effect measured by an observer in a local freely falling frame (LFFF) in the gravitational field of a massive body. For purely metric theories of gravity, the metric in a LFFF is expected to differ from that of flat spacetime by only ``tidal'' terms of order (GM/c2R)(r'/R)2, where R is the distance of the observer from the massive body, and r' is the coordinate separation relative to the origin of the LFFF. A simple derivation shows that a violation of the equivalence principle for certain types of ``clocks'' could lead to a larger apparent redshift effect of order (1-α)(GM/c2R)(r'/R), where α parametrizes the violation (α=1 for purely metric theories, such as general relativity). Therefore, redshift experiments in a LFFF with separated clocks can provide a new null test of the equivalence principle. With presently available technology, it is possible to reach an accuracy of 0.01% in the gravitational field of the Sun using an atomic clock orbiting the Earth. A 1% test in the gravitational field of the galaxy would be possible if an atomic frequency standard were flown on a space mission to the outer solar system.

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