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Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field

Received: 9 October 2013    Accepted:     Published: 30 October 2013
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Abstract

In the present work, we have derived the formula for the variation of the gravitational constant given by G’=G/(1-v2/c2)-2 in very strong gravitational field of the compact bodies like super massive black holes and neutron stars applying special relativity and Newton’s law of gravitation for two bodies where v be the velocity of spinning compact bodies like black holes, neutron stars etc. and c be the velocity of light and calculated the variability of the gravitational constant (G) at different speed of the spinning of the black holes, neutron stars and quasars to show the speed is also factor governing the force of gravity addition to the mass.

Published in International Journal of Astrophysics and Space Science (Volume 1, Issue 4)
DOI 10.11648/j.ijass.20130104.17
Page(s) 56-60
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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

Compact Body, Gravitational Constant, Black Hole and Neutron Star

References
[1] I. Newton,: "The Principia (The mathematical principles of Natural knowledge)", 1667.
[2] A. Einstein, Preuss, Akad. Wiss, Berlin, Sitzber, pp,778, 831, and 844 (1915).
[3] Brush, Stephen G.; Holton, Gerald James (2001), Physics, the human adventure: from Copernicus to Einstein and beyond, New Brunswick, N.J: Rutgers University Press, p. 137, ISBN 0-8135-2908-5
[4] P.G. Bergmann,: "Introduction to the Theory of Relativity". Prentice Hall of India, New Delhi (1969).
[5] .J. B. Fixler; G. T. Foster; J. M. McGuirk; M. A. Kasevich (2007-01-05), "Atom Interferometer Measurement of the Newtonian Constant of Gravity" Science 315 (5808): 74–77, Doi:10.1126/science.1135459 PMID 17204644, 2007.
[6] Jin Wang: "Astrophysical constraints on the gravitational constant", Astrophysics and Space Science, 184, 31-36(1991).
[7] Ingrid H. Stairs: "Testing General Relativity with Pulsar Timing." Living Reviews in Relativity, 2003.
[8] Tomasz Borowski: "The new theory of gravitation representing the movement of planets." International Letters of Chemistry, Physics and Astronomy 1 (2012) 1-5.
[9] Eugenie Samuel Reich: "Spin rate of black holes pinned down." Nature, Vol.500,p-135, Macmillan Publishing limited, Aug 2013.
[10] Takeshi Chiba: "The Constancy of the Constants of Nature: Updates." Progress of Theoretical Physics, Vol.126, No. 6, Dec. 2011.
[11] K. Nordtvedt: Physical Review Letter, 65, (1990),953.
[12] T. Damour, G.W. Gibbons and J. H. Taylor, Physical Review Letter,61, (1988), 1151.
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  • APA Style

    Dipo Mahto, Md Shams Nadeem, Umakant Prasad, Kumari Vineeta. (2013). Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field. International Journal of Astrophysics and Space Science, 1(4), 56-60. https://doi.org/10.11648/j.ijass.20130104.17

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    ACS Style

    Dipo Mahto; Md Shams Nadeem; Umakant Prasad; Kumari Vineeta. Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field. Int. J. Astrophys. Space Sci. 2013, 1(4), 56-60. doi: 10.11648/j.ijass.20130104.17

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    AMA Style

    Dipo Mahto, Md Shams Nadeem, Umakant Prasad, Kumari Vineeta. Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field. Int J Astrophys Space Sci. 2013;1(4):56-60. doi: 10.11648/j.ijass.20130104.17

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  • @article{10.11648/j.ijass.20130104.17,
      author = {Dipo Mahto and Md Shams Nadeem and Umakant Prasad and Kumari Vineeta},
      title = {Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field},
      journal = {International Journal of Astrophysics and Space Science},
      volume = {1},
      number = {4},
      pages = {56-60},
      doi = {10.11648/j.ijass.20130104.17},
      url = {https://doi.org/10.11648/j.ijass.20130104.17},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijass.20130104.17},
      abstract = {In the present work, we have derived the formula for the variation of the gravitational constant given by  G’=G/(1-v2/c2)-2 in very strong gravitational field of the compact bodies like super massive black holes and neutron stars applying special relativity and Newton’s law of gravitation for two bodies where v be the velocity of spinning compact bodies like black holes, neutron stars etc. and c be the velocity of light and calculated the variability of the gravitational constant (G) at different speed of the spinning of the black holes, neutron stars and quasars to show the speed is also factor governing the force of gravity addition to the mass.},
     year = {2013}
    }
    

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    T1  - Study of Variation of Gravitational Constant (G) in the Very Strong Gravitational Field
    AU  - Dipo Mahto
    AU  - Md Shams Nadeem
    AU  - Umakant Prasad
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    T2  - International Journal of Astrophysics and Space Science
    JF  - International Journal of Astrophysics and Space Science
    JO  - International Journal of Astrophysics and Space Science
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ijass.20130104.17
    AB  - In the present work, we have derived the formula for the variation of the gravitational constant given by  G’=G/(1-v2/c2)-2 in very strong gravitational field of the compact bodies like super massive black holes and neutron stars applying special relativity and Newton’s law of gravitation for two bodies where v be the velocity of spinning compact bodies like black holes, neutron stars etc. and c be the velocity of light and calculated the variability of the gravitational constant (G) at different speed of the spinning of the black holes, neutron stars and quasars to show the speed is also factor governing the force of gravity addition to the mass.
    VL  - 1
    IS  - 4
    ER  - 

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Author Information
  • Department of Physics, Marwari College, T.M.B.U. Bhagalpur-812007, India

  • Department of Physics, T.M.B.U. Bhagalpur-812007, India

  • Department of Physics, T. N. B. College, T.M.B.U. Bhagalpur-812007, India

  • Department of Education, S.M. College, Bhagalpur, India

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