Geokerr: A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime

Details Geokerr: A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime Geokerr: A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime

Nov 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010ascl.soft11015d&link_type=abstract

Astrophysics Source Code Library, record ascl:1011.015

Astronomy and Astrophysics

Astrophysics

Scientific paper

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.

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