| Peer-Reviewed

The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor

Received: 3 August 2017     Accepted: 4 September 2017     Published: 22 September 2017
Views:       Downloads:
Abstract

In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory.

Published in American Journal of Modern Physics (Volume 6, Issue 6)
DOI 10.11648/j.ajmp.20170606.13
Page(s) 127-131
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), 2017. Published by Science Publishing Group

Keywords

Golden Metric Tensor, Geodesic Equation, Coefficient of Affine Connection

References
[1] Howusu, S. X. K. (2009). “Riemannian Revolutions in mathematics and physics II The great metric tensor and principles”. Jos University Press
[2] Howusu, S. X. K. (2009). “Riemannian Revolutions in physics and mathematics V the golden metric tensor in orthogonal curvilinear coordinates”. Pp. (1-9)
[3] Weinberg S. (1972). Principles and applications of the General Theory of Relativity. New York: J. Wiley and Sons
[4] Rajput, B. S. (2010). “Mathematical physics. Pragati Prakashan publisher.” Pp (891-895)
[5] Spiegel, M. R. (1974) “Theory and problems of vector analysis and introduction to tensor analysis”. McGraw Hill, New York. Pp (193-195)5-7
[6] Howusu, S. X. K. (2009). “Riemannian Revolution in Physics and Mathematics II; The Great Metric Tensor and Principles”. Pp. (40-41)
[7] N. Yakubu, S. X. K. Howusu, W. L. Lumbi, N. Ibrahim. (2016): Solution of Newton’s Gravitational Field Equation of a Static Homogeneous Oblate Spheroidal Massive Body: International Journal of Theoretical and Mathematical Physics. 6(3): 104-109
[8] Y. Nura, S. X. K. Howusu, L. W. Lumbi, I. Nuhu, A. Hayatu.(2017). The Generalized Planetary Equations Based upon Riemannian geometry and the Golden Metric Tensor: International Journal of Theoretical and Mathematical Physics, 7(2): 25-35 DOI: 10.5923/j.ijtmp.20170702.02
[9] Nura, Y. Howusu S. X. K. and Nuhu, I. (2016). General linear acceleration vector based on the golden metric tensor in Spherical polar coordinates (paper I): International Journal of Current Research in Life Sciences Vol. 05, No. 12, pp. 627-633
[10] Howusu S. X. K. (2009). The metric tensors for gravitational Fields and the mathematical principles of Riemannian theoretical physics. Jos University Press. Pp 15-16
Cite This Article
  • APA Style

    Nura Yakubu, Samuel Xede Kofi Howusu, Nuhu Ibrahim, Ado Musa, Abbas Babakura. (2017). The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. American Journal of Modern Physics, 6(6), 127-131. https://doi.org/10.11648/j.ajmp.20170606.13

    Copy | Download

    ACS Style

    Nura Yakubu; Samuel Xede Kofi Howusu; Nuhu Ibrahim; Ado Musa; Abbas Babakura. The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. Am. J. Mod. Phys. 2017, 6(6), 127-131. doi: 10.11648/j.ajmp.20170606.13

    Copy | Download

    AMA Style

    Nura Yakubu, Samuel Xede Kofi Howusu, Nuhu Ibrahim, Ado Musa, Abbas Babakura. The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor. Am J Mod Phys. 2017;6(6):127-131. doi: 10.11648/j.ajmp.20170606.13

    Copy | Download

  • @article{10.11648/j.ajmp.20170606.13,
      author = {Nura Yakubu and Samuel Xede Kofi Howusu and Nuhu Ibrahim and Ado Musa and Abbas Babakura},
      title = {The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {6},
      pages = {127-131},
      doi = {10.11648/j.ajmp.20170606.13},
      url = {https://doi.org/10.11648/j.ajmp.20170606.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170606.13},
      abstract = {In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory.},
     year = {2017}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor
    AU  - Nura Yakubu
    AU  - Samuel Xede Kofi Howusu
    AU  - Nuhu Ibrahim
    AU  - Ado Musa
    AU  - Abbas Babakura
    Y1  - 2017/09/22
    PY  - 2017
    N1  - https://doi.org/10.11648/j.ajmp.20170606.13
    DO  - 10.11648/j.ajmp.20170606.13
    T2  - American Journal of Modern Physics
    JF  - American Journal of Modern Physics
    JO  - American Journal of Modern Physics
    SP  - 127
    EP  - 131
    PB  - Science Publishing Group
    SN  - 2326-8891
    UR  - https://doi.org/10.11648/j.ajmp.20170606.13
    AB  - In this paper, we used Howusu’s planetary equation. The general equation of motion is derived for particle of non-zero rest mass in a gravitational field based upon Riemannian geometry and the golden metric tensor which is thereby opens the way for further studies or to pave the way for applications such as planetary theory.
    VL  - 6
    IS  - 6
    ER  - 

    Copy | Download

Author Information
  • Department of Physics, University of Maiduguri, Maiduguri, Nigeria

  • Theoretical Physics Program, National Mathematics Centre Abuja, Abuja, Nigeria

  • Department of Physics, Government Science & Technical College Nguru, Nguru, Nigeria

  • Department of Physics, Aminu Saleh College of Education Azare Bauchi, Bauchi, Nigeria

  • Department of Physics, University of Maiduguri, Maiduguri, Nigeria

  • Sections