Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2009-03-03
Astrophys.J.696:1616-1629,2009
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
15 pages, 10 figures, accepted by ApJ
Scientific paper
10.1088/0004-637X/696/2/1616
Relativistic radiative transfer problems require the calculation of photon trajectories in curved spacetime. We present a novel technique for rapid and accurate calculation of null geodesics in the Kerr metric. The equations of motion from the Hamilton-Jacobi equation are reduced directly to Carlson's elliptic integrals, simplifying algebraic manipulations and allowing all coordinates to be computed semi-analytically for the first time. We discuss the method, its implementation in a freely available FORTRAN code, and its application to toy problems from the literature.
Agol Eric
Dexter Jason
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