Pith. sign in

REVIEW 4 cited by

High-order gauge-invariant perturbations of a spherical spacetime

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 gr-qc/0703069 v1 pith:R4V2KBGS submitted 2007-03-12 gr-qc

David Brizuela , Jose M. Martin-Garcia , Guillermo A. Mena Marugan This is my paper · ORCID
classification gr-qc
keywords perturbationsconstructgauge-invariantgeneralhigh-orderinvariantsspacetimespherical
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

We complete the formulation of a general framework for the analysis of high-order nonspherical perturbations of a four-dimensional spherical spacetime by including a gauge-invariant description of the perturbations. We present a general algorithm to construct these invariants and provide explicit formulas for the case of second-order metric perturbations. We show that the well-known problem of lack of invariance for the first-order perturbations with l=0,1 propagates to increasing values of l for perturbations of higher order, owing to mode coupling. We also discuss in which circumstances it is possible to construct the invariants.

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. Perturbations of relativistic dissipative stars

    gr-qc 2024-11 conditional novelty 7.0 of 10

    Linearized perturbations of relativistic stars with BDNK viscosity reduce to two coupled wave equations in the axial sector and five coupled wave equations plus a constraint in the polar sector, including a new viscous mode.

  2. Black Hole Ringdown Nonlinearities in the Large-D Limit

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    In the large-D limit, analytic third-order nonlinear corrections to quasinormal modes improve ringdown modeling accuracy by several orders of magnitude for head-on black hole collisions.

  3. Nonlinearities of Schwarzschild Black Hole Head-on Collisions

    gr-qc 2025-08 unverdicted novelty 6.0 of 10

    Quadratic quasi-normal mode amplitudes in Schwarzschild head-on collisions can be derived analytically via second-order perturbation theory bootstrapping.

  4. The Nonlinear Tails in Black Hole Ringdown: the Scattering Perspective

    gr-qc 2025-07 conditional novelty 4.0 of 10

    Nonlinear ringdown tails in the transverse-traceless gauge decay as t^{-(2ℓ+1)}, and this paper rederives that law from in-in scattering diagrams.

Pith tools