Mathematics – Logic
Scientific paper
Jan 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9...21s&link_type=abstract
General Relativity and Gravitation, vol. 9, Jan. 1978, p. 21-51.
Mathematics
Logic
1
Cosmology, Einstein Equations, Gravitational Fields, Relativity, Equivalence, Field Theory (Algebra), Light Emission, Perihelions, Radar Echoes, Red Shift, Time Lag
Scientific paper
A previous formulation of a noncustomary gauge theory of general relativity is broadened slightly by introducing the cosmological constant into the field equations. It is shown that the usual statement of the principle of equivalence between a gravitational field and an accelerating reference frame does not hold in this noncustomary theory. A customary metric tensor is obtained and used to solve the standard problems of general relativity involving the gravitational shift in spectral lines, the perihelion precession of planets, the deflection of light by the sun, and the time delay of radar echoes passing the sun. The noncustomary gauge theory is then applied to cosmological models that are, in the large, homogeneous and isotropic from the standpoint of customary observers. The results obtained for a static noncustomary matter-dominated universe that is redshifted in the customary gauge are found to be compatible with observations.
Cohn Joanne
Stephenson L.
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