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The energy of the gravitational field and the mass related to it are calculated. The momentum of the gravitational field of a moving body and the appropriate mass of the field are determined. Comparison of the given masses shows their difference. The reasons of violation of relativity and equivalence principles are discussed.
A method allowing us to introduce into the Lagrangian the terms, which characterize an arbitrary vector field of a system, is described. As a result of applying the principle of least action it becomes possible to find all the main characteristics of this field, including its energy and momentum, field equations, force of interaction with the matter.
The law of Newton for the attraction of bodies is derived with the help of the concept of gravitons. The expression for the gravitational constant is obtained through the momentum of gravitons and the absorption coefficient. Calculations of the values of the coefficient of absorption and of the energy power of flows of gravitons in the space were made. It is shown that during the movement with constant speed the law of inertia is acting.
The axiomatization of general theory of relativity (GR) is done. The axioms of GR are compared with the axioms of the metric theory of relativity and the covariant theory of gravitation. The need to use the covariant form of the total derivative with respect to the proper time of the invariant quantities, the 4-vectors and tensors is indicated. The definition of the 4-vector of force density in Riemannian spacetime is deduced.
The theory of nuclear gravitation is used to calculate the moment of momentum of the gravitational field of a proton, which is compared to the corresponding moment of momentum of the electromagnetic field. As a result, the proton radius is estimated and a relation for the moment of momentum of the field is established, which coincides in form with the expression of the virial theorem for energy.
The difference of equations of motion in the covariant theory of gravitation and in the general theory of relativity is used to explain the Pioneer anomaly. Calculation shows that the velocities of a spacecraft in both theories at equal distances can differ by several centimetres per second. This leads also to a possible explanation of the flyby anomaly and comet disturbances which are not taken into account by the general theory of relativity.
The model of ball lightning is presented where outside electron envelope is kept by inside volume of positive charges. The moving of electron in outside envelope is a reason of strong magnetic field, which controls the state of hot ionized air inside of ball lightning. The conditions of origins of ball lightning are investigated and the values of parameters for ball lightning of maximum power are calculated.
The metric outside a charged body is calculated. As part of the given approach it is shown that the gravitational and electromagnetic fields are equally involved in the formation of the metric tensor components. And the contribution of fields in the metric is proportional to the energy of these fields. From equations for the metric it follows that the metric tensor components are determined up to two constants.
Based on the similarity of properties of photons and money, and on the formula for the
density of distribution of photon gas by energies, the corresponding mathematical formula for
distribution of annual income per capita is obtained. Application of this formula for the data
analysis reveals several independent groups of population with different average levels of their
income. In particular four main groups of population contribute to the distribution of income in the
eco...
The gravitational field potentials outside and inside a uniform massive ball were determined using the superposition principle, the method of retarded potentials and Lorentz transformations. The gravitational field strength, the torsion field, the energy and the momentum of the field, as well as the effective masses associated with the field energy and its momentum were calculated. It was shown that 4/3 problem existed for the gravitational field as well as in the case of the electromagnetic ...