SHORTCUT METHOD OF SOLUTION OF GEODESIC EQUATIONS FOR SCHWARZSCHILD BLACK HOLE
J.A. Marck
TL;DR
The paper demonstrates how Kerr-Schild coordinates simplify geodesic equations for Schwarzschild black holes and applies this to numerical computations, also extending the method to Kerr black holes.
Contribution
It introduces a simplified formulation of geodesic equations using Kerr-Schild coordinates and extends the approach to Kerr black holes.
Findings
Simplified geodesic equations for Schwarzschild black holes
Numerical computation of black hole aspects
Extension to Kerr black holes
Abstract
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 Kerr solution is presented too.
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