An Extension of Newton Gravity Formula Considering the Universe Expansion Effects

Abstract

The Universe expansion and gravity are perhaps the main factors that determine the Universe evolution at global scale. The expansion of the Universe seen as a sphere whose frontier is moving at the speed of light in vacuum ( Vc ) increases the distances among bodies similarly to a dilatation process. If one studies the expansion effects on bodies in interaction, an interesting question is whether the configuration of these bodies is maintained such that the distances among them are proportionally modified. For example, it is known that the Solar planetary system has the same configuration for billion of years. Then, by applying the mechanical conservation laws, one may obtain important conclusions. Here we show that one of such important consequences is the dependence of the terms in Newton expression of the gravity force (including the universal coefficient of gravity) on the age of the Universe. An expression for the Hubble coefficient as a function of the age of Universe and a suggestion for the value of the actual age of Universe are also given.

Keywords

• age of Universe
• coefficient of universal attraction
• mass dependence
• Hubble coefficient