REVIEW 6 cited by
Quasinormal modes of black holes. II. Pad\'e summation of the higher-order WKB terms
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
abstract
In previous work [1] we proposed an improvement of the WKB-based semianalytic technique of Iyer and Will for calculation of the quasiormal modes of black holes by constructing the Pad\'e approximants of the formal series for $\omega^{2}.$ It has been demonstrated that (within the domain of applicability) the diagonal Pad\'e transforms $\mathcal{P}_{6}^{6}$ and $\mathcal{P}_{7}^{6}$ are always in a very good agreement with the numerical results. In this paper we present a further extension of the method. We show that it is possible to reproduce many known numerical results with a great accuracy (or even exactly) if the Pad\'e transforms are constructed from the perturbative series of a really high order. In our calculations the order depends on the problem but it never exceeds 700. For example, the frequencies of the gravitational mode $l=2,$ $n=0$ calculated with the aid of the Pad\'e approximants and within the framework of the continued fractions method agree to 24 decimal places. The use of such a large number of terms is necessary as the stabilization of the quasinormal frequencies can be slow. Our results reveal some unexpected features of the WKB-based approximations and may shed some fresh light on the problem of overtones.
Forward citations
Cited by 6 Pith papers
-
Resumming Kerr Quasinormal-Mode Frequencies: Accuracy and Breakdown Near Extremality
Padé-resummed high-order WKB yields sub-10^{-7} Kerr QNM errors for damped modes up to a=0.99, but breaks down for zero-damped modes because near-horizon poles spoil the local peak expansion.
-
The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential
For exact asymptotically flat hairy charged black holes with a dilaton potential, the shadow radius, photon-orbit Lyapunov exponent, and scalar quasinormal frequencies are computed, showing strong coupling dependence ...
-
Wave and particle probes of a regular T-duality-inspired black hole with gravitational self-energy
Increasing zero-point length makes photon and ISCO orbits more compact in ADM units while heavier scalars raise oscillation frequency and suppress damping on this regular self-energy black hole.
-
Gravitational perturbations of a regular T-duality inspired black hole: Quasinormal modes, excitation factors, and time-domain evolution
Gravitational quasinormal-mode frequencies of a T-duality-inspired regular black hole are computed, showing the zero-point length makes the ringdown oscillate faster and alters damping non-monotonically.
-
Long-lived quasinormal frequencies for regular black hole supported by the Einasto profile in the presence of the magnetic field
For Einasto-supported regular black holes, larger effective scalar mass and certain halo parameters suppress the quasinormal damping rate, producing long-lived modes and shifting grey-body factors toward higher frequencies.
-
Connection Between the Shadow Radius and Quasinormal Frequencies for Black Holes in STVG with Perfect Fluid Dark Matter
In STVG with PFDM, eikonal QNM real frequencies equal multipole number over shadow radius, so shadow size and ringdown are dual photon-sphere observables.
Discussion (0). Continue with ORCID to comment.