Cosmological model with inhomogeneous space and nonuniform time

A cosmological model with inhomogeneous space and nonuniform time is proposed and substantiated. Both space and time are assumed to be finite, i.e., curved of positive sign and characterized by a variable curvature.The replacement of the absolute universal time by a relative proper time, intrinsic for individual gravitational objects, is in accord with the spirit of relativity.Numerous consequences of this model leading to observable phenomena in galaxies, quasars and in the solar system are derived from the mathematical analysis of the line element, Equation (8), of the model in the papers mentioned in Section 4.2, where they are confronted with observational evidence. In addition several predictions following from the theory are listed (Section 4.3), whose verification by future observations may justify the postulate lying at the basis of this theory.