The gauge in general relativity. III.
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 consideredfirst generally, and then in more detail for the case where the noncustomary universe is matter dominated and static. With a particular choice ofσ 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/cm^{3}in good agreement with experiment. Finally, the age of the universe in this model is found to be>6.6× 10^{9} yr, again in agreement with other estimates.
 Publication:

General Relativity and Gravitation
 Pub Date:
 January 1978
 DOI:
 10.1007/BF00772549
 Bibcode:
 1978GReGr...9...39S
 Keywords:

 Cosmological Models:Relativity