Pith. sign in

REVIEW 4 cited by

Gravitational perturbations of rotating black holes in Lorenz gauge

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 2108.06344 v2 pith:GSIQRQD3 submitted 2021-08-13 gr-qc hep-th

Sam R. Dolan , Chris Kavanagh , Barry Wardell This is my paper · ORCID
classification gr-qchep-th
keywords equationsperturbationssolutionsfieldgaugelorenzspacetimetensor
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations. However, for certain applications it is desirable to construct the full metric perturbation in the Lorenz gauge, in which the linearized Einstein field equations take a manifestly hyperbolic form. Here we obtain a set of Lorenz-gauge solutions to the vacuum field equations in terms of homogeneous solutions to the spin-2, spin-1 and spin-0 Teukolsky equations; and completion pieces that represent perturbations to the mass and angular momentum of the spacetime. The solutions are valid in vacuum Petrov type-D spacetimes that admit a conformal Killing-Yano tensor.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. Schwarzschild perturbations in Lorenz gauge via elliptic differential equations

    gr-qc 2026-08 conditional novelty 7.0 of 10

    First frequency-domain m-mode calculation of Schwarzschild metric perturbations in Lorenz gauge, solving ten coupled elliptic PDEs and matching known energy fluxes to about four digits.

  2. Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit

    gr-qc 2025-07 conditional novelty 7.0 of 10

    First-order metric perturbations and the generalized redshift invariant are computed for eccentric, precessing orbits in Kerr spacetime using four metric reconstruction methods, with open-source code provided.

  3. Environmental effects in extreme mass ratio inspirals: perturbations to the environment in Kerr

    gr-qc 2025-01 conditional novelty 7.0 of 10

    A perturbative calculation shows that a secondary body in Kerr spacetime creates a wake in a superradiant scalar cloud, with energy fluxes that differ from Schwarzschild predictions by tens of percent.

  4. Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Scalar radiation from an EMRI in an ultralight scalar cloud is computed semi-analytically, showing dipole clouds decelerate and quadrupole clouds accelerate the inspiral, with up to about 100 rad dephasing after 18 months.

Pith tools