Repulsive force in the field theory of gravitation

It is shown that the slowing down of the rate of time referencing to the inertial timeleads in the field theory of gravitation to arising of repulsive forces which remove the cos-mological singularity in the evolution of a homogeneous and isotropic universe and stopthe collapse of large masses. It is shown that the slowing down of the rate of time referencing to the inertial time leads inthe field theory of gravitation to arising of repulsive forces which remove the cosmologicalsingularity in the evolution of a homogeneous and isotropic universe and stop the collapse oflarge masses.Both in the Newton theory of gravitation, and in the General Theory of Relativity (GRT) thegravitational force is exclusively an attractive one. However field notions of gravitation showthat in strong gravitational fields it is not absolutely so. But this will be discussed below.In the Relativistic Theory of Gravitation (RTG) [1,2] the gravitational field is considered asa physical field φ with spins 2 and 0, developing as well as all other physical fields in theMinkowski space. It means that the Special Relativity Theory lays in the basis of RTG, andconsequently, the relativity principle has a universal meaning. It is valid for all physical effects,including gravitational ones. This circumstance ensures validness of energy-momentum andangular momentum conservation laws for all physical processes, including gravitational ones.The RTG starts with a hypothesis, that gravity is universal and the conserved energy-momentumtensor of all the substance fields, including the gravitational one, is the source of it.Such an approach is in accordance with the Einstein idea. He wrote on it still in 1913 [3]:“. . . the gravitational field tensor θμν is a source of the field in parallel with the tensor of mate-rial systems Θμν . The exclusive position of the energy of the gravitational field in comparison1 with all other sorts of energy would result in intolerable consequences.” Just this idea by Ein-stein was put in the basis of the Relativistic Theory of Gravitation set-up. Einstein had not suc-ceded to implement this idea in constructing the General Relativity Theory, as the pseudotensorof the gravitational field had appeared in the GRT instead of the energy-momentum tensor ofthe gravitational field. All this had occured because Einstein did not consider the gravitationalfield as a physical one in the Minkowski space (in the Faraday Maxwell meaning). For thisreason the GRT does not contain the Minkowski space metric in its equations.The approach to gravitation accepted in the RTG leads to the geometrization: there is an effec-tive Riemannian space, but only with trivial topology. This leads to the following picture: themotion of a test body in the Minkowski space under the action of a gravitational field is equiv-alent to a motion of this body in the effective Riemannian space created by this gravitationalfield. The forces of gravitation are physical ones, and therefore they can not be reduced to zeroby a choice of coordinate system. Just this allows to separate the inertial forces from the forcesof gravitation in this theory. There is an effective Riemannian space in the field approach togravitation, but with a trivial topology only. For this reason the field notions can not lead us tothe GRT, where the topology is non-trivial in general case.The notions described above result in the following complete set of equations [1,2]: (R − 12gR)