A new Dynamic Model of the Universe Motion

The proposed model of the universe motion gives some new specific answers to the important questions of the cosmology: what occurred at the initial singularity?, how old is the universe?, how big is the universe?, and what is it's ultimate fate? This new approach is based on the new solution of the Einstein's field equations in a vacuum. This solution confirms that the so called cosmological constant, ʌ, is not really constant, but a function of the gravitational radius. As the consequence, the acceleration equation of the universe motion shows that the universe acceleration can be attractive (negative) or repulsive (positive). The repulsive acceleration gives rise to the accelerating expansion of the universe at the present time. The change from the contracting phase into the expanding one, takes place at the minimal radius,r=GM/2c². This could be the solution of the initial singularity.