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

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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

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