Abstract
The problems connected to propagation of a gravitational field are considered. The constant homogeneous gravitational field is investigated. The law of electromagnetic radiation frequency change in this gravitational field is shown. On the basis of the solution of the Einstein’s equation for a weak gravitational field, the flux of gravitational radiation energy from system of cooperating masses is found. The equation for gravitational waves is found. On the basis of refusal from a stresses tensor into energy-impulse tensor and use of a quantum gravitational eikonal, the quantum form of the energy-impulse tensor in Einstein’s equation is found. The equation for a graviton propagating in a gravitational field of a double star is found. Resonant interaction of a graviton and a gravitational field of a double star are investigated. It is shown that such interaction allows registering the gravitons.
Highlights
The modern theory of gravitation—the theory general relativity of Einstein—is a basis for calculation of the astrophysics phenomena
The equation of a gravitational wave (54) is accompanied by the gauge Equation (27) which for a weak gravitational field passes in Lorentz’s gauge (30) identical to one gauges used in electrodynamics
By refusal from a stresses tensor into energy-impulse tensor, and replacement corresponding a component in power sizes introductions of a gravitational eikonal, the quantum quantization of gravitational radiation is lead
Summary
The modern theory of gravitation—the theory general relativity of Einstein—is a basis for calculation of the astrophysics phenomena. The Einstein’s equation for a gravitational field does not have stochastic nature The problem of gravitational waves detecting which description is possible with the help of the Einstein’s equation of general relativity is solved. From the physical point of view the general relativity theory assumes that the mass curvature is a space-time [6]. This curvature of space-time influences all particles moving in space, including and what creates a curvature. Space-time curvature in the general relativity theory identifies with occurrence of some gravitational fields due to which there is an interaction of mass particles. Assuming as a whole correctness of the Einstein’s equation for a gravitational field we research some features of a gravitational radiation and quantization of the gravitational waves
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