Pith. sign in

REVIEW 3 cited by

Complete set of quasi-conserved quantities for spinning particles around Kerr

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2105.12454 v3 pith:7WHRXSSO submitted 2021-05-26 gr-qc

Geoffrey Compère , Adrien Druart This is my paper · ORCID
classification gr-qc
keywords quantitieskerrmotionnon-trivialparticlesquasi-conservedspinningcomplete
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We revisit the conserved quantities of the Mathisson-Papapetrou-Tulczyjew equations describing the motion of spinning particles on a fixed background. Assuming Ricci-flatness and the existence of a Killing-Yano tensor, we demonstrate that besides the two non-trivial quasi-conserved quantities, i.e. conserved at linear order in the spin, found by R\"udiger, non-trivial quasi-conserved quantities are in one-to-one correspondence with non-trivial mixed-symmetry Killing tensors. We prove that no such stationary and axisymmetric mixed-symmetry Killing tensor exists on the Kerr geometry. We discuss the implications for the motion of spinning particles on Kerr spacetime where the quasi-constants of motion are shown not to be in complete involution.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 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. Symplectic mechanics of relativistic spinning compact bodies. III. quadratic-in-spin integrability in Type-D Einstein spacetimes: persistence and breakdown

    gr-qc 2026-01 conditional novelty 7.0 of 10

    Quadratic-in-spin MPTD dynamics in type-D Einstein spacetimes with Killing–Yano symmetry admits five commuting first integrals—hence Liouville–Arnold integrability—only when the spin-induced quadrupole deformability p...

  3. Classical eikonal in relativistic scattering

    hep-th 2025-09 conditional novelty 6.0 of 10

    A classical interaction picture defines the classical eikonal directly in classical mechanics and yields all-order eikonal formulas for relativistic probes in EM and gravitational backgrounds.

Pith tools