Pith. sign in

REVIEW 5 cited by

Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions

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 hep-th/0612029 v1 pith:ECFUXP66 submitted 2006-12-05 hep-th gr-qc

Pavel Krtous , David Kubiznak , Don N. Page , Valeri P. Frolov This is my paper · ORCID
classification hep-thgr-qc
keywords constantskilling-yanotensorshep-thkillingmotiontensorgeodesic
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

From the metric and one Killing-Yano tensor of rank D-2 in any D-dimensional spacetime with such a principal Killing-Yano tensor, we show how to generate k=[(D+1)/2] Killing-Yano tensors, of rank D-2j for all j=0,...,k-1, and k rank-2 Killing tensors, giving k constants of geodesic motion that are in involution. For the example of the Kerr-NUT-AdS spacetime (hep-th/0604125) with its principal Killing-Yano tensor (gr-qc/0610144), these constants and the constants from the k Killing vectors give D independent constants in involution, making the geodesic motion completely integrable (hep-th/0611083). The constants of motion are also related to the constants recently obtained in the separation of the Hamilton-Jacobi and Klein-Gordon equations (hep-th/0611245).

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 5 Pith papers

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

  1. Mass/electric versus NUT/magnetic charges: duality from scattering amplitudes in $D\geq4$ and for all bosonic spins

    hep-th 2026-07 conditional novelty 7.0 of 10

    Kerr-NUT mass/electric and equal-NUT/magnetic charges are dual in D≥4, realized as J_σ ↔ J_−σ in 3-point amplitudes generated by a spin-raising operator for all bosonic spins.

  2. On Generalized (Conformal) Killing Tensors

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Mixed-symmetry generalized Killing tensors, plus a null-geodesic conformal-like version, are constructed and shown to exist in Kerr-NUT-AdS black holes.

  3. Twisting asymptotically-flat spacetimes

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Twisting asymptotically-flat spacetimes are brought into a generalized Bondi gauge with finite radial expansion, producing new flux-balance laws, Carroll-boost symmetries, and finite supertranslated Kerr–Taub–NUT metrics.

  4. Convexity criterion and radial-profile response for off-shell Kerr geometries: a fuzzy-dark-matter profile as an analytic benchmark

    gr-qc 2026-08 accept novelty 5.0 of 10

    The paper proves a sufficient convexity criterion for off-shell Kerr radial mass profiles and derives first-order horizon, photon-sphere, and shadow responses for a fuzzy-dark-matter-inspired benchmark.

  5. The Role of the Volume in Black Hole Thermodynamics

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geo...

Pith tools