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Short-cut method of solution of geodesic equations for Schwarzchild black hole

Short-cut method of solution of geodesic equations for Schwarzchild black hole

It is shown how the use of the Kerr-Schild coordinate system can greatly simplify the formulation of the geodesic equation of the Schwarzschild solution. An application of this formulation to the numerical computation of the aspect of a non-rotating black hole is presented. The generalization to the case of the …