Pith. sign in

REVIEW 3 cited by

Not yet reviewed by Pith; the record is open.

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 2004.04664 v4 pith:CLAJDAXU submitted 2020-04-08 gr-qc

Connection Between the Shadow Radius and Quasinormal Modes in Rotating Spacetimes

classification gr-qc
keywords blackholeradiusshadowequationfracmodesqrt
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
read the original abstract

Based on the geometric-optics correspondence between the parameters of a quasinormal mode and the conserved quantities along geodesics, we propose an equation to calculate the typical shadow radius for asymptotically flat and rotating black holes when viewed from the equatorial plane given by \begin{equation}\notag \bar{R}_s=\frac{\sqrt{2}}{2}\left(\sqrt{\frac{ r_0^{+}}{f'(r)|_{r_0^{+}}}}+\sqrt{\frac{ r_0^{-}}{f'(r)|_{r_0^{-}}}}\right), \end{equation} with $r_0^{\pm}$ being the radius of circular null geodesics for the corresponding mode. Furthermore we have explicitly related the shadow radius to the real part of QNMs in the eikonal regime corresponding to the prograde and retrograde mode, respectively. As a particular example, we have computed the typical black hole shadow radius for some well known black hole solutions including the Kerr black hole, Kerr-Newman black hole and higher dimensional black hole solutions described by the Myers-Perry black hole.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 3 Pith papers

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

  1. Eikonal quasinormal modes, greybody factors and shadow of charged accelerating black holes

    gr-qc 2026-03 unverdicted novelty 6.0

    Eikonal quasinormal modes for accelerating black holes are determined by the angular velocity and Lyapunov exponent of null geodesics, yielding universal greybody factors for any spin and explicit shadow radii that re...

  2. Regular Black Holes in General Relativity from Nonlinear Electrodynamics with de Sitter Cores

    gr-qc 2026-04 unverdicted novelty 5.0

    New regular black hole metrics in GR arise from a magnetic monopole NLED configuration with de Sitter cores, are fitted to Sgr A* shadow size, and remain stable under scalar perturbations.

  3. Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium

    gr-qc 2026-07 conditional novelty 4.0

    Plasma and a topological-defect parameter k jointly shift scalar QNM frequencies and permit electromagnetic quasi-bound states only for homogeneous plasma below a critical frequency threshold.