Gravitons into Gravitational Field

Author(s)
Andrey N. Volobuev

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.

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.

KEYWORDS

A Gravitational Eikonal, Metric Tensor, Einstein’s Equation, Energy Flux, Gravitational Waves, Energy-Impulse Tensor, Registration of Gravitons

A Gravitational Eikonal, Metric Tensor, Einstein’s Equation, Energy Flux, Gravitational Waves, Energy-Impulse Tensor, Registration of Gravitons

Cite this paper

Volobuev, A. (2018) Gravitons into Gravitational Field.*Journal of High Energy Physics, Gravitation and Cosmology*, **4**, 695-715. doi: 10.4236/jhepgc.2018.44039.

Volobuev, A. (2018) Gravitons into Gravitational Field.

References

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[2] Wheeler, J.A. (1955) Geons. Physical Review, 97, 511-536.

https://doi.org/10.1103/PhysRev.97.511

[3] Kiefer, C. (2004) Quantum Gravity. Oxford University Press, New York, 308.

[4] Rubakov, V.A. and Tinyakov, P.G. (2008) Infrared-Modified Gravities and Massive Gravitons. Uspekhi Fizicheskikh Nauk, 178, 785-822.

[5] Corda, C. (2009) Interferometric Detection of Gravitational Waves: The Definitive Test for General Relativity. International Journal of Modern Physics D, 18, 2275-2282.

https://doi.org/10.1142/S0218271809015904

[6] Landau, L.D. and Lifshits, E.M. (1967) Theory of Field. Science, Moscow, 460.

[7] Kaluza T. (1979) To Problem of Physics Unity, the Collection: Albert Einstein and the Theory of Gravitation. Science, Moscow, 529-534.

[8] Pardo, K., Fishbach, M., Holz, D.E. and Spergel, D.N. (2018) Limits on the Number Spacetime Dimensions from GW170817. arXiv:1801.08160v1.

[9] Faddeev, L.D. (1998) Mathematical Physics. The Encyclopedia. In: Big Russian encyclopedia, Under Edit, Scientific Publishing House, Moscow, 153.

[10] Levich, V.G. (1962) Theoretic Physics Course. V. 1. FIZMATGIS, Moscow, 696.

[11] Zeldovich, J.B. and Novikov, I.D. (1971) The Theory of Gravitation and Evolution of Stars. Science, Moscow, 484.

[12] Peters, P.C. and Mathews, J. (1963) Gravitational Radiation from Point Masses in a Keplerian Orbit. Physical Review, 131, 435-440.

https://doi.org/10.1103/PhysRev.131.435

[13] Konopleva, N.P. and Popov V.N. (2000) Gauge Fields. Editorial URSS, Moscow, 272.

[14] Fradkin, E.S. (1965) The Method of Green’s Function in the Theory of the Quantum Fields and Quantum Statistics, Moscow, Works FIAN. Science, 29, 7-138.

[15] Levich, V.G., Vdovin, J.A. and Mjamlin, V.A. (1962) Theoretic Physics Course. V. 2. FIZMATGIS, Moscow, 820.

[16] Bakelman, I.J. (1967) High Geometry. Education, Moscow, 349.

[17] Volobuev, A.N. (2012) Basis of Nonsymmetrical Hydromechanics. Nova Science Publishers, Inc., New York, 198.

[18] Schlichting, H. (1974) The Boundary Layer Theory. Science, Moscow, 63.

[19] Mott, N. and Sneddon, I. (2007) Wave Mechanics and Its Applications. ComKniga, Moscow, 389.

[1] Bronstein, M.P. (1936) Quantization of Gravitational Waves. Moscow. Journal of Experimental and Theoretical Physics, No. 6, 195-236.

[2] Wheeler, J.A. (1955) Geons. Physical Review, 97, 511-536.

https://doi.org/10.1103/PhysRev.97.511

[3] Kiefer, C. (2004) Quantum Gravity. Oxford University Press, New York, 308.

[4] Rubakov, V.A. and Tinyakov, P.G. (2008) Infrared-Modified Gravities and Massive Gravitons. Uspekhi Fizicheskikh Nauk, 178, 785-822.

[5] Corda, C. (2009) Interferometric Detection of Gravitational Waves: The Definitive Test for General Relativity. International Journal of Modern Physics D, 18, 2275-2282.

https://doi.org/10.1142/S0218271809015904

[6] Landau, L.D. and Lifshits, E.M. (1967) Theory of Field. Science, Moscow, 460.

[7] Kaluza T. (1979) To Problem of Physics Unity, the Collection: Albert Einstein and the Theory of Gravitation. Science, Moscow, 529-534.

[8] Pardo, K., Fishbach, M., Holz, D.E. and Spergel, D.N. (2018) Limits on the Number Spacetime Dimensions from GW170817. arXiv:1801.08160v1.

[9] Faddeev, L.D. (1998) Mathematical Physics. The Encyclopedia. In: Big Russian encyclopedia, Under Edit, Scientific Publishing House, Moscow, 153.

[10] Levich, V.G. (1962) Theoretic Physics Course. V. 1. FIZMATGIS, Moscow, 696.

[11] Zeldovich, J.B. and Novikov, I.D. (1971) The Theory of Gravitation and Evolution of Stars. Science, Moscow, 484.

[12] Peters, P.C. and Mathews, J. (1963) Gravitational Radiation from Point Masses in a Keplerian Orbit. Physical Review, 131, 435-440.

https://doi.org/10.1103/PhysRev.131.435

[13] Konopleva, N.P. and Popov V.N. (2000) Gauge Fields. Editorial URSS, Moscow, 272.

[14] Fradkin, E.S. (1965) The Method of Green’s Function in the Theory of the Quantum Fields and Quantum Statistics, Moscow, Works FIAN. Science, 29, 7-138.

[15] Levich, V.G., Vdovin, J.A. and Mjamlin, V.A. (1962) Theoretic Physics Course. V. 2. FIZMATGIS, Moscow, 820.

[16] Bakelman, I.J. (1967) High Geometry. Education, Moscow, 349.

[17] Volobuev, A.N. (2012) Basis of Nonsymmetrical Hydromechanics. Nova Science Publishers, Inc., New York, 198.

[18] Schlichting, H. (1974) The Boundary Layer Theory. Science, Moscow, 63.

[19] Mott, N. and Sneddon, I. (2007) Wave Mechanics and Its Applications. ComKniga, Moscow, 389.