5 (9) Eqs (8) and (9) provide the interaction law of two point masses in this model. The first term describes Newton’s gravitation/attraction, and the second term the cosmic repulsion. The latter does not depend on the opposite mass that plays the only role of a trigger and gauge; and so, the latter does not follow the Newton’s law that action equals counteraction. When the distance increases, the gravitation tends to zero while the repulsion tends to infinity. Let us study some problems for two point masses. Two free masses in the cosmic-gravitational field. Let free masses on the x-axis be acted upon by forces of Eq. (8) and Eq. (9) where ( are the coordinates of corresponding masses movable along the - axis). The distance between the masses satisfies the equation . (10) If at the initial moment of time when then the masses move one towards the other until they collide. If at the initial moment of time when then the masses move apart one from the other until they disconnect. The solution to Eq. (10) is as follows ( where C is defined by initial conditions). (11) One mass is fixed and the other is free. Suppose mass is fixed at the coordinate origin and mass is free to move along the x-axis. In this case let us take into account the relativistic dependence of the latter mass on its velocity. (Yet, the introduced cosmic-gravitational field does not satisfy the special relativity). In this case the velocity of the free mass can be written as follows ( where C is defined by initial conditions) (12) Here c is the speed of light. According to the present model, the cosmic field describes the intrinsic geometrical property of material space for accelerated self-expansion. 5. The cosmological system Let us apply the introduced cosmic-gravitational field to cosmology. First, consider a finite system of any number of point masses in a finite volume of the 3D Euclidian space. Designate by the maximum distance between any two masses, and by the total mass of the system. The cosmic field attached to this system is inside the sphere of diameter According to Eqs (8) and (9) the dimensionless number
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