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

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arxiv 0903.0620 v1 pith:GY4VWDYP submitted 2009-03-03 astro-ph.HE

Jason Dexter , Eric Agol This is my paper · ORCID
classification astro-ph.HE
keywords calculationcodekerrphotonproblemsspacetimeaccuratealgebraic
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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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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Constitutive birefringence and critical curves in the rotating Garc\'ia--D\'iaz black hole

    gr-qc 2026-06 unverdicted novelty 7.0 of 10

    In the rotating García-Díaz NLED black hole the Fresnel quartic factorizes into two optical metrics whose critical families project to distinct contours Γ+ and Γ- whose angular separation is generated by the constitut...

  2. Dark matter environments and safeguards for spacetime inference from horizon scale interferometry

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Using public 2017 M87* closure data, a frozen Kerr source fails an absolute adequacy test and the differential tidal-charge response fails numerical convergence, so no posterior or bound is reported.

  3. Physically motivated AGN emissivity profiles and their effects on quasar microlensing signatures. 1. Multi-epoch accretion disc size inference

    astro-ph.GA 2026-07 accept novelty 6.0 of 10

    Interpreting composite disc-plus-BLR emission as a single compact disc systematically overestimates microlensing half-light radii, with the bias set mainly by the BLR flux fraction and the compact-disc emissivity shape.

  4. Polarization-dependent observational signatures of Weyl-coupled photons around a black hole

    gr-qc 2026-07 conditional novelty 5.5 of 10

    Weyl-coupled photons on Schwarzschild produce a polarization-split double shadow (62% edge separation at α/M²=0.75) and a parity-protected backward birefringence signal that vanishes at α=0.

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