Isaac Scientific Publishing

Advances in Astrophysics

Application of the Non-Local Physics in the Theory of the Matter Movement in Black Holes

Download PDF (668.6 KB) PP. 99 - 135 Pub. Date: August 1, 2018

DOI: 10.22606/adap.2018.33001


  • Boris V. Alexeev*
    Physics Department, Moscow Technological University, Moscow, Russia


The theory of the matter movement in black holes (BH) in the frame of non – local quantum hydrodynamics (NLQHD) is considered. The theory corresponds to the limit case when the matter density tends to infinity when the theory of General Relativity is not applicable in principle. From calculations follow that NLQHD equations for the black holes have the solutions limited in space. The domain of the solution existence is limited by the event horizon where gravity tends to infinity. It was shown: 1) internal perturbations in BH lead to the appearance of the packets of the gravitational waves. 2) The width of the wave packet is inversely proportional to the magnitude of internal energy. 3) Increasing of the internal energy leads to the transformation of the mode of antigravity into the attraction regime. 4) A strong mutual influence of the gravitational, antigravitational and electromagnetic fields exists. The velocity of gravitational waves is more than the speed of light. The numerical calculations of the Cauchy problem are delivered.


Black Holes, transport processes in Black Holes, velocity of gravitational waves, microscopic and macroscopic Black Holes, explosive maximon instability, transformations of gravitation and anti-gravitation regimes


[1] Chandrasekhar, S. (1958) [first edition 1939]. An Introduction to the Study of Stellar Structure. New York: Dover. ISBN 0-486-60413-6.

[2] Chandrasekhar, S. (2005) [first edition 1942]. Principles of Stellar Dynamics. New York: Dover. ISBN 0-486- 44273-X.

[3] Wheeler, John Archibald (2000). Exploring Black Holes: Introduction to General Relativity. Addison Wesley. ISBN 0-201-38423-X.

[4] Hawking, S W, Gravitationally collapsed objects of very low mass, Monthly Notices of the Royal Astronomical Society, Vol. 152, 1971, p. 75.

[5] Alexeev, B V “Unified Non-local Theory of Transport Processes”. Elsevier, Amsterdam, The Netherlands, 2015.

[6] Alexeev B.V. Application of the Non-Local Physics in the Theory of the Matter Movement in Black Hole // J. Modern Physics. V. 4. p. 42–49 (2013) doi:10.4236/jmp.2013.47A1005. Published Online July 2013 (

[7] Shevelev Yu D, Andrushchenko V A, Murashkin I V, Numerical Solution of the Problem of the Theory of Point Explosion in Lagrangian Coordinates. Some New Results. Mathematical Modeling, v. 23, (2011), (in Russian).

[8] Sedov L. I., the Movement of air in a strong explosion // DAN SSSR, 1946, vol. 52, No. 1, pp. 17?20.

[9] Taylor G. The formation of a blast wave by a very intense explosion // Proc. Roy. Soc., London, 1950, A. 201, No. 1065, p.159-186.

[10] Zeldovich Y. B., Raizer Yu. P. Physics of shock waves and the high-temperature gas dynamics phenomena. ? M.: Nauka, 1963, 632с.

[11] Kestenbaum, H. S., Roslyakov G. S., and L. A. Chudov L. A., A Point explosion. (Methods of calculation. The tables). ?M.: Nauka, 1974, 255p.

[12] Korobeinikov V. P. Problems in the theory of point explosion. ? M.: Nauka, 1985, 400 p.

[13] Kestenbaum, H. S., Turkish F. D., Chudov L.A., Shevelev Yu. D. Eulerian and Lagrangian methods for calculation of a point explosion in an inhomogeneous atmosphere. Numerical methods in gas dynamics. Second International Colloquium on the dynamics of explosion and reactive systems. Vol. 3. Novosibirsk, 19-23 Aug. 1969. ? M.: pp. 85?97.

[14] Shevelev Yu. D. Spatial problems of computational Aero-and hydrodynamics. ? M.: Nauka, 1986, 368с.

[15] Robert M. Wald. General relativity. — University of Chicago Press, 1984. — ISBN 978-0-226-87033-5.

[16] Poplawski N. J., Radial motion into an Einstein - Rosen bridge, Physics Letters B, Vol. 687, Nos. 2-3 (2010) pp. 110–113.

[17] Markov M.A. “Maximon” and “minimon” in the light of a possible formulation of the concept of an “elementary particle”, Pis'ma v Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0370-274X), vol. 45, Feb. 10, 1987, p. 115-117. In Russian.

[18] McHardy I.M., Koerding E., Knigge C., et al., Active galactic nuclei as scaled-up Galactic black holes. Nature 444, 730 (2006) doi:10.1038/nature05389

[19] Piotrovich, M.Y., Silant'ev, N.A., Gnedin, Y.N. et al. Magnetic fields and quasi-periodic oscillations of black hole radiation. Astrophys. Bull. (2011) 66: 320.

[20] Frolov, Valeri; Zelnikov, Andrei (2011). Introduction to Black Hole Physics. Oxford. p. 168. ISBN 0-19-969229- 7.

[21] Schutz B.F. Detection of gravitational waves in Proceedings of “Astrophysical sources of gravitational radiation”, J.A. Marck and J.P. Lasota Eds., Cambridge Univ. Press (1996)