Pith. sign in

REVIEW 2 cited by

General parametrization of black holes: the only parameters that matter

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 2001.06100 v2 pith:6QWTV47C submitted 2020-01-16 gr-qc astro-ph.HEhep-th

R. A. Konoplya , A. Zhidenko This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords parametersblackholesonlyparametrizationblack-holefourgeneral
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The general parametrization of a black-hole spacetime in arbitrary metric theories of gravity includes an infinite set of parameters. It is natural to suppose that essential astrophysically observable quantities, such as quasinormal modes, parameters of shadow, electromagnetic radiation and accreting matter in the vicinity of a black hole, must depend mostly on a few of these parameters. Starting from the parametrization for spherically symmetric configurations in the form of infinite continued fraction, we suggest a compact representation of the asymptotically flat spherically symmetric and slowly rotating black holes in terms of only three and four parameters respectively. A subclass of arbitrarily rotating black holes belonging to the Carter family can also be parametrized by only four parameters. This approximate representation of a black-hole metric should allow one to describe physical observables in the region of strong gravity.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Universality of the Blandford-Znajek emission in stationary and axisymmetric spacetimes

    gr-qc 2026-02 conditional novelty 7.0 of 10

    The Blandford-Znajek jet luminosity is universal (∝Ω_h²) at leading order across parametric black-hole spacetimes and spacetime-dependent at next order, breaking the low-spin degeneracy for rapidly rotating holes.

  2. Optimal frequency scales for probing black-hole geometries

    gr-qc 2026-08 conditional novelty 6.0 of 10

    A Gaussian pulse extracts the most black-hole metric information when its width is about the inverse square root of the effective-potential maximum, not when it is as narrow as possible.

Pith tools