Vestnik of Samara State Technical University. Technical Sciences SeriesVestnik of Samara State Technical University. Technical Sciences Series1991-8542Samara State Technical University5455010.14498/tech.2020.3.6Original ArticleSome features of an interaction of electromagnetic radiation quantums with a gravitational field and a problem of gravitonVolobuevAndrey N.<p>Dr. Sci. (Techn.), Professor</p>volobuev47@yandex.ruShterenbergAleksandr M.<p>Dr. Sci. (Phys.& Math.), Professor</p>ashter53@mail.ruKuznetsovPavel K.<p>Dr. Sci. (Techn.), Professor</p>volobuev47@yandex.ruSamara State Medical UniversitySamara State Technical University11122020283901091012202010122020Copyright © 2020, Samara State Technical University2020<p class="a"><span lang="EN-US" style="font-style: normal;">The problems connected to propagation of a gravitational field are considered. The law of electromagnetic radiation frequency change in gravitational field is shown. The problem of a gravitational field quantization is investigated. Energy of a graviton is found by two ways. First, on the basis of use quantum gravitational eikonal and Lagrangian of a gravitational field the energy of a solitary graviton is found. It is shown that graviton has the mass proportional to its frequency. Second, due to refusal from symmetric stresses tensor in structure of an energy-impulse tensor the quantum form of the energy-impulse tensor in Einstein's equation is found. It has allowed found the energy of a solitary graviton. Both ways of an energy graviton finding has given the identical result. It is shown that the solution of the Einsteins equation with use of the quantum form of an energy-impulse tensor for the certain direction represents the sum of a gravitational wave and a graviton. It is found out that at approach of a graviton to the massive bodies (double stars) radiating gravitational waves there is a resonant pumping of the gravitational field energy of these bodies to the gravitons with increase in their mass and frequency. It enables registration of the gravitons with the help of the detector located near to massive bodies. The assumption is made that dark energy of a gravitational field is all set of the graviton energies of a space.</span></p>electromagnetic radiationgravitational eikonalmetric tensorEinstein's equationgravitational wavesenergy-impulse tensorregistration of gravitonsэлектромагнитное излучениегравитационный эйконалметрический тензоруравнение Эйнштейнагравитационные волнытензор энергии-импульсарегистрация гравитонов[Bronstein M.P. Quantization of gravitational waves. ZhETF. 6.1936.S. 195–236.][Wheeler J.A. Geons. Phys. Rev. 97. 1955. Pp. 511–536.][Kiefer C. Quantum Gravity. New York: Oxford Univ. Press, 2004. 308 p.][Rubakov V.A., Tinyakov P.G. Modification of gravity at large distances and a massive graviton // Phys. 178, 8. 2008.S. 785–822.][Corda C. Interferometric Detection of Gravitational Waves: the Definitive Test for General Relativity // Int. J. of Modern Physics D. Vol. 18, No. 14. 2009. Pp. 2275–2282.][Landau L.D., Lifshits E.M. Field theory. Moscow: Nauka, 1967. 460 p.][Kaluza T. On the problem of the unity of physics. B Sat. Albert Einstein and the theory of gravity. M.: Mir, 1979. S. 529–534.][Pardo K., Fishbach M., Holz D.E., Spergel D.N. Limits on the Number Spacetime Dimensions from GW170817 // ArXiv.org 1801.08160v1, 24 Jan 2018. Pp. 1–7.][Fradkin E.S. Green's function method in the theory of quantum fields and quantum statistics. Proceedings of FIAN. 29. M.: Nauka, 1965. S. 7–138.][Zeldovich Ya.B., Novikov I.L. The theory of gravitation and the evolution of stars. Moscow: Nauka, 1971. 484 p.][Levich V.G., Vdovin Yu.A., Myamlin V.A. Theoretical physics course. T. 2. M.: FIZMATGIZ, 1962. 820 p.][Volobuev A.N. Fundamentals of asymmetric fluid mechanics. Samara: SamLuxPrint LLC, 2011. 188 p.][Volobuev A.N. Reynolds stress vector and tensor // Mathematical modeling. 2011. Vol. 23. No. 8. P. 127–136.][Schlichting G. Theory of the boundary layer. Per. with him. Moscow: Nauka, 1974. S. 63.][Mott N.F., Sneddon I.N. Wave mechanics and its applications. Per. from English. M.: KomKniga, 2007. S. 389.][Peters P.C., Mathews J. Gravitational Radiation from Point Masses in a Keplerian Orbit // Phys. Rev. 131.1.1963. pp. 435–440.][Lukash V.N., Rubakov V.A. Dark Energy: Myths and Reality // UFN. 178, 3. 2008. pp. 301–308.]