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A worldsheet for Kerr

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arxiv 2012.11570 v3 pith:QJFF6D35 submitted 2020-12-21 hep-th gr-qc

Alfredo Guevara , Ben Maybee , Alexander Ochirov , Donal O'Connell , Justin Vines This is my paper · ORCID
classification hep-thgr-qc
keywords kerrequationsholdsinteractionsleadingmotionnewman-janisshift
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abstract

We show that the Newman-Janis shift property of the exact Kerr solution can be interpreted in terms of a worldsheet effective action. This holds both in gravity, and for the single-copy $\sqrt{\text{Kerr}}$ solution in electrodynamics. At the level of equations of motion, we show that the Newman-Janis shift holds also for the leading interactions of the Kerr black hole. These leading interactions are conveniently described using chiral classical equations of motion with the help of the spinor-helicity method familiar from scattering amplitudes.

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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. Geodesic deviation to all orders via a tangent bundle formalism

    gr-qc 2025-09 conditional novelty 7.0 of 10

    A tangent-bundle flow formalism yields an explicit all-orders formula for the Jacobi propagators in geodesic deviation, with the Lagrangian and equation of motion given explicitly up to tenth order.

  2. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

    hep-th 2025-05 accept novelty 7.0 of 10

    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

  3. First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order

    hep-th 2025-02 conditional novelty 7.0 of 10

    The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.

  4. Complex degenerate metrics in general relativity: a covariant extension of the Moore-Penrose algorithm

    gr-qc 2025-02 reject novelty 5.0 of 10

    A covariant Moore-Penrose algorithm for complex degenerate metrics is formulated, but its uniqueness and torsion interpretation depend on an arbitrary auxiliary metric and the central proof is incomplete.

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