The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole

Yuriy Nikolaevich Zayko

doi:doi:10.11648/j.ijass.20190704.11

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The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole

Yuriy Nikolaevich Zayko

Published in International Journal of Astrophysics and Space Science (Volume 7, Issue 4)

Received: 27 June 2019 Accepted: 28 September 2019 Published: 11 October 2019

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Abstract

The mechanism of the appearance of neutron complexes, which at the final stage of their development, evolve into neutron stars, is described. It is shown that for a quantitative description it is necessary to use a generalization of the Newton-Schrödinger equations taking into account the next terms in the decomposition of explicit Dirac – Maxwell equations on c^-2. In this approximation, the problem is described by the well-known Gross-Pitaevskii equation, the numerical analysis of which is performed for the spherically symmetric case. The result depends on the value of the parameter α equal to the ratio of the gravitational radius of the neutron complex to twice the Compton wavelength. For small values of α <0.5, the solutions describe a neutron star; for α > 0.5, the description corresponds to its gravitational collapse. This is consistent with the analysis of the general 3-dimensional case.

Published in	International Journal of Astrophysics and Space Science (Volume 7, Issue 4)
DOI	10.11648/j.ijass.20190704.11
Page(s)	36-40
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Schrödinger-Newton Equations, Gravitational Potential, Neutron Star, Bosonic Condensate, Gross-Pitaevskii Equation

References

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Yuriy Nikolaevich Zayko. (2019). The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. International Journal of Astrophysics and Space Science, 7(4), 36-40. https://doi.org/10.11648/j.ijass.20190704.11

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Yuriy Nikolaevich Zayko. The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. Int. J. Astrophys. Space Sci. 2019, 7(4), 36-40. doi: 10.11648/j.ijass.20190704.11

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AMA Style

Yuriy Nikolaevich Zayko. The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. Int J Astrophys Space Sci. 2019;7(4):36-40. doi: 10.11648/j.ijass.20190704.11

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@article{10.11648/j.ijass.20190704.11,
  author = {Yuriy Nikolaevich Zayko},
  title = {The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {7},
  number = {4},
  pages = {36-40},
  doi = {10.11648/j.ijass.20190704.11},
  url = {https://doi.org/10.11648/j.ijass.20190704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20190704.11},
  abstract = {The mechanism of the appearance of neutron complexes, which at the final stage of their development, evolve into neutron stars, is described. It is shown that for a quantitative description it is necessary to use a generalization of the Newton-Schrödinger equations taking into account the next terms in the decomposition of explicit Dirac – Maxwell equations on c-2. In this approximation, the problem is described by the well-known Gross-Pitaevskii equation, the numerical analysis of which is performed for the spherically symmetric case. The result depends on the value of the parameter α equal to the ratio of the gravitational radius of the neutron complex to twice the Compton wavelength. For small values of α α > 0.5, the description corresponds to its gravitational collapse. This is consistent with the analysis of the general 3-dimensional case.},
 year = {2019}
}

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TY  - JOUR
T1  - The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole
AU  - Yuriy Nikolaevich Zayko
Y1  - 2019/10/11
PY  - 2019
N1  - https://doi.org/10.11648/j.ijass.20190704.11
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Author Information

Yuriy Nikolaevich Zayko

Russian Presidential Academy of National Economy and Public Administration, Stolypin Volga Region Institute, Saratov, Russia

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Yuriy Nikolaevich Zayko. (2019). The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. International Journal of Astrophysics and Space Science, 7(4), 36-40. https://doi.org/10.11648/j.ijass.20190704.11

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ACS Style

Yuriy Nikolaevich Zayko. The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. Int. J. Astrophys. Space Sci. 2019, 7(4), 36-40. doi: 10.11648/j.ijass.20190704.11

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AMA Style

Yuriy Nikolaevich Zayko. The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole. Int J Astrophys Space Sci. 2019;7(4):36-40. doi: 10.11648/j.ijass.20190704.11

Copy | Download

@article{10.11648/j.ijass.20190704.11,
  author = {Yuriy Nikolaevich Zayko},
  title = {The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole},
  journal = {International Journal of Astrophysics and Space Science},
  volume = {7},
  number = {4},
  pages = {36-40},
  doi = {10.11648/j.ijass.20190704.11},
  url = {https://doi.org/10.11648/j.ijass.20190704.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20190704.11},
  abstract = {The mechanism of the appearance of neutron complexes, which at the final stage of their development, evolve into neutron stars, is described. It is shown that for a quantitative description it is necessary to use a generalization of the Newton-Schrödinger equations taking into account the next terms in the decomposition of explicit Dirac – Maxwell equations on c-2. In this approximation, the problem is described by the well-known Gross-Pitaevskii equation, the numerical analysis of which is performed for the spherically symmetric case. The result depends on the value of the parameter α equal to the ratio of the gravitational radius of the neutron complex to twice the Compton wavelength. For small values of α α > 0.5, the description corresponds to its gravitational collapse. This is consistent with the analysis of the general 3-dimensional case.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - The Dynamics of the Neutron Complexes: From Neutron Star to Black Hole
AU  - Yuriy Nikolaevich Zayko
Y1  - 2019/10/11
PY  - 2019
N1  - https://doi.org/10.11648/j.ijass.20190704.11
DO  - 10.11648/j.ijass.20190704.11
T2  - International Journal of Astrophysics and Space Science
JF  - International Journal of Astrophysics and Space Science
JO  - International Journal of Astrophysics and Space Science
SP  - 36
EP  - 40
PB  - Science Publishing Group
SN  - 2376-7022
UR  - https://doi.org/10.11648/j.ijass.20190704.11
AB  - The mechanism of the appearance of neutron complexes, which at the final stage of their development, evolve into neutron stars, is described. It is shown that for a quantitative description it is necessary to use a generalization of the Newton-Schrödinger equations taking into account the next terms in the decomposition of explicit Dirac – Maxwell equations on c-2. In this approximation, the problem is described by the well-known Gross-Pitaevskii equation, the numerical analysis of which is performed for the spherically symmetric case. The result depends on the value of the parameter α equal to the ratio of the gravitational radius of the neutron complex to twice the Compton wavelength. For small values of α α > 0.5, the description corresponds to its gravitational collapse. This is consistent with the analysis of the general 3-dimensional case.
VL  - 7
IS  - 4
ER  -

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