Nonmetric theories of gravity and the gravitational frequency shift

Details Nonmetric theories of gravity and the gravitational frequency shift Nonmetric theories of gravity and the gravitational frequency shift

Aug 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apj...331..773c&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 331, Aug. 15, 1988, p. 773-783. NSERC-CONACYT-supported research.

Astronomy and Astrophysics

Astrophysics

2

Frequency Shift, Gravitation Theory, Gravitational Fields, Satellite Perturbation, Artificial Satellites, Circular Orbits, Red Shift, Solar Gravitation

Scientific paper

A class of nonmetric theories of gravity called metric-affine theories is investigated, emphasizing a subclass of theories called Weyl-affine theories. An experimental configuration is modeled in which the gravitational redshift of light signals conecting an artificial satellite to the earth is measured. A situation in which both bodies are forced to follow circular orbits around the sun with angular speeds determined by the solar gravitational field is considered along with the more realistic situation in which the artificial satellite and the earth are both allowed to follow general coplanar orbits. The latter is found to give rise to more severe constraints. It is found that theories under investigation must coincide with their metric counterparts up to first order in the Newtonian gravitational potential U and that any nonmetric effects within the solar neighborhood can only manifest themselves at most through small contributions at the U-squared level or at the U-cubed level.

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