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

1995/05/10 by J. A. Marck, Jean-Alain Marck · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Algorithm #Astrophysical Phenomena and Observations #Black hole (networking) #Classical mechanics #Computation #Computer science #Coordinate system #General relativity #Generalization #Geodesic #Geometry #Geophysics and Gravity Measurements #Gravitation #Kerr metric #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Rotating black hole #Schwarzschild geodesics #Schwarzschild metric #Schwarzschild radius #Solving the geodesic equations #Theoretical physics #gr-qc

paper · pdf · doi:10.1088/0264-9381/13/3/007

published as Class.Quant.Grav. 13 (1996) 393-402 · 11 pages, 2 PostScript figures (available as uuencoded compressed tar file), uses epsfig.tex). Accepted on February 1995 for publication in Classical and Quantum Gravity

arxiv created 1995/05/10 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 also presented. 0470B, 9760L

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