General Relativistic Equation of Motion for a Photon Moving Round a Time Varying Spherical Distribution of Mass

W. L. Lumbi, I. I. Ewa

Abstract


Abstract
In this article, Schwarzschild metric is extended to obtain a generalized metric for the gravitational field exterior to time varying spherical distributions of mass. Einstein’s equation for photon moving round a time varying spherical distribution of mass is derived. The second-order differential equation obtained is a modification of the equation of motion in Schwarzschild field. It introduces a unique dependence of the motion of the photon in this field on Newton’s scalar potential exterior to time varying spherical bodies.


Keywords


General relativity; Photon motion; Time varying; Spherical body; Schwarzschild metric

Full Text:

PDF

References


Anderson, J. L. (1982). Principles of relativity (pp.381-386). New York: Academic Press.

Bergmann, P. G. (1987). Introduction to the theory of relativity (p.203). India: Prentice Hall.

Dunsby, P. K. S. (2000). An introduction to tensor and relativity (pp. 51-110). Cape Town. Retrieved from http://shiva.mth.uct.ac.za/gr96/gr96.html

French, A. P. (1979). The story of general relativity: Einstein’s—A centenary volume (pp.91-112). Heinemann.

Howusu, S. X. K., & Musongong, E. F. (2005). Newton’s equation of motion in the Gravitational field of an oblate mass. Galilean Electrodynamics, 16(5), 97-100.

Rotehnstein, B., Paunescu, D., & Popescu, S. (2007). The rest mass of a system of two photons in different inertial reference frames. Journal of Physics Student, 1(1), 8-14. Retrieved from http://www.jphysstu.org

Wikipedia. The Free Encyclopedia—General Relativity (2008).

Wikipedia. (2008). Sun-Wikipedia: The Free Encyclopedia. Retrieved from http://www.en.wikipedia.org




DOI: http://dx.doi.org/10.3968/3731

DOI (PDF): http://dx.doi.org/10.3968/g5166

Refbacks

  • There are currently no refbacks.


Copyright (c)



Share us to:   

Reminder

We are currently accepting submissions via email only.

The registration and online submission functions have been disabled.

Please send your manuscripts to [email protected]，or  [email protected]  for consideration. We look forward to receiving your work.

 

 Articles published in Advances in Natural Science are licensed under Creative Commons Attribution 4.0 (CC-BY).

 ADVANCES IN NATURAL SCIENCE Editorial Office

Address: 1055 Rue Lucien-L'Allier, Unit #772, Montreal, QC H3G 3C4, Canada.

Telephone: 1-514-558 6138
Website: Http://www.cscanada.net; Http://www.cscanada.org
E-mail:[email protected]; [email protected]

Copyright © 2010 Canadian Research & Development Centre of Sciences and Cultures