Time-space varying speed of light and the Hubble law in a static universe

We consider the hypothetical possibility of the variability of light velocity with time and position in space which is derived from two natural postulates. For a consistent consideration of such variability we generalize the translational transformations of the theory of relativity. The formulas of the transformations between two rest observers within one inertial system are obtained. It is shown that the equality of the velocities of two particles is as relative a statement as the simultaneity of two events is. We obtain an expression for the redshift of the radiation of a rest source which formally reproduces the Hubble law. The possible experimental implications of the theory are discussed.