An Approach to Solution of the Dark Energy Problem

The problem is to explain the real physical source of the dark energy and what the value of the rate of the expansion is. In that sense, the analytical expression of Λ= (GM/r²c²)² has been derived as the function of the universe mass M and radius r. Meanwhile, the Einstein's field equations require that A should be a constant. Therefore, the structure of the universe should include a new mass-radius balancing constant K_mr = M/r², with the consequence that universe mass is producing proportional to r². Related scalar field, determined by A, is the real physical source of the dark energy. The velocity and acceleration equations show the value of the rate of the accelerated expansion. Thus, this model solves the dark energy problem, the initial singularity problem and gives a unique solution: a closed universe. It should be verified by the observation data.