The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor
American Journal of Modern Physics
Volume 6, Issue 6, November 2017, Pages: 127-131
Received: Aug. 3, 2017;
Accepted: Sep. 4, 2017;
Published: Sep. 22, 2017
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Nura Yakubu, Department of Physics, University of Maiduguri, Maiduguri, Nigeria
Samuel Xede Kofi Howusu, Theoretical Physics Program, National Mathematics Centre Abuja, Abuja, Nigeria
Nuhu Ibrahim, Department of Physics, Government Science & Technical College Nguru, Nguru, Nigeria
Ado Musa, Department of Physics, Aminu Saleh College of Education Azare Bauchi, Bauchi, Nigeria
Abbas Babakura, Department of Physics, University of Maiduguri, Maiduguri, Nigeria
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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.
Golden Metric Tensor, Geodesic Equation, Coefficient of Affine Connection
To cite this article
Samuel Xede Kofi Howusu,
The General Equation of Motion in a Gravitational Field Based Upon the Golden Metric Tensor, American Journal of Modern Physics.
Vol. 6, No. 6,
2017, pp. 127-131.
Copyright © 2017 Authors retain the copyright of this article.
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Howusu, S. X. K. (2009). “Riemannian Revolutions in mathematics and physics II The great metric tensor and principles”. Jos University Press
Howusu, S. X. K. (2009). “Riemannian Revolutions in physics and mathematics V the golden metric tensor in orthogonal curvilinear coordinates”. Pp. (1-9)
Weinberg S. (1972). Principles and applications of the General Theory of Relativity. New York: J. Wiley and Sons
Rajput, B. S. (2010). “Mathematical physics. Pragati Prakashan publisher.” Pp (891-895)
Spiegel, M. R. (1974) “Theory and problems of vector analysis and introduction to tensor analysis”. McGraw Hill, New York. Pp (193-195)5-7
Howusu, S. X. K. (2009). “Riemannian Revolution in Physics and Mathematics II; The Great Metric Tensor and Principles”. Pp. (40-41)
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
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
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
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