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The Null Geodesics of the Kerr Exterior

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arxiv 1910.12881 v3 pith:4FCVPSRL submitted 2019-10-28 gr-qc astro-ph.HEhep-th

Samuel E. Gralla , Alexandru Lupsasca This is my paper
classification gr-qcastro-ph.HEhep-th
keywords kerrnullellipticequationsexteriorgeodesicspotentialscertain
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The null geodesic equation in the Kerr spacetime can be expressed as a set of integral equations involving certain potentials. We classify the roots of these potentials and express the integrals in manifestly real Legendre elliptic form. We then solve the equations using Jacobi elliptic functions, providing the complete set of null geodesics of the Kerr exterior as explicit parameterized curves.

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Cited by 6 Pith papers

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

  1. Quadrupolar tidal effects destroy the integrability of black hole geodesics: analytic proof and numerical evidence of chaos

    gr-qc 2026-07 accept novelty 7.0 of 10

    Leading-order tidally induced quadrupoles destroy Kerr geodesic integrability: no polynomial deformation of the Carter constant is conserved for generic Love couplings and Kerr spin.

  2. Geodesics and shadows of the spindle-deformed Kerr black hole

    gr-qc 2026-07 accept novelty 6.0 of 10

    In the spindle-deformed Kerr black hole, null geodesics separate at O(B²) while timelike do not; the deformation shifts the ISCO, can create an OSCO, and enlarges the shadow versus Kerr.

  3. Radii of spherical timelike geodesics in Kerr-Newman black holes

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Closed-form and numerical radii, existence conditions, and radial stability are given for spherical timelike orbits in Kerr-Newman spacetimes, including an analytical ISCO radius formula.

  4. Photon rings in a holographic toy model

    hep-th 2025-06 conditional novelty 6.0 of 10

    In warped AdS3 black holes, the eikonal quasinormal-mode spectrum is governed exactly by the photon ring's orbital frequency and Lyapunov exponent, with different boundary conditions picking out the outer or inner ring.

  5. Optical Images of the Braneworld Black Hole Surrounded by an Optically Thin Accretion Disk

    astro-ph.HE 2026-07 conditional novelty 5.0 of 10

    A rotating braneworld black hole with tidal charge casts an asymmetric, spin- and q-dependent shadow; with the adopted disk emissivity, its 86 GHz image is brighter than its 230 GHz image.

  6. Optical images of the Kerr-Sen black hole and thin accretion disk

    gr-qc 2025-07 reject novelty 3.0 of 10

    Ray-traced images of a Kerr-Sen black hole with a thin accretion disk show spin-dominated inner-shadow deformation and inclination-dominated redshift maps, while the 86-versus-230 GHz brightness gap is inherited from ...

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