Showing papers on "Particle horizon published in 1972"

Gravitation Theory and Oscillating Universe

Abstract: The field equations of a noncovariant theory of gravitation, based on the existence of a preferred frame of reference in the universe, are applied to the homogeneous isotropic cosmological model. One is naturally led to a particular value of the previously undetermined constant present in the equations. The second-order equation determining the radius of the universe can be integrated to give a first-order equation similar to that of general relativity, but with an additional term that can lead to oscillations without any singular state. One obtains a conservation law for the total energy, which is found to be positive definite.

A finite expanding universe with matter injection

Abstract: A fluid homogeneous cosmologioal model is proposed with a Robertson-Walker metric and positive curvature. The Einstein field equations are modified through the following two assumptions: the principle of Mach in Whitrow’s formulation and a new version of Hoyle’s vector field. The present model affords an interpretation to the matter production process in the following terms: the matter injection into the observable universe is due to the work done along cosmic expansion by a negative-pressure substratum and to the variation of a negative field energy. The properties of the expansion function and the vector field demand a negative cosmological constant.