The gauge in general relativity. III |
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Authors: | L. Stephenson J. Cohn |
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Affiliation: | (1) Department of Physics and Astronomy, University of Oklahoma, 73069 Norman, Oklahoma |
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Abstract: | A noncustomary gauge theory of general relativity, developed in detail in the preceding paper (II), is here applied to cosmology. A universe that is homogeneous and isotropic in the customary gauge, is considered-first generally, and then in more detail for the case where the noncustomary universe is matter dominated and static. With a particular choice of equation, this model is solved and a new relation between customary mass density, Hubble constant, and deceleration parameter is found. For a customary deceleration parameter of 1.98, this relation yields a customary mass density of 3.1×10–31 g/cm3-in good agreement with experiment. Finally, the age of the universe in this model is found to be>6.6× 109 yr, again in agreement with other estimates. |
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