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