On the branching of the quasinormal resonances of near-extremal Kerr black holes

S. A. Teukolsky and W. H. Press, Astrophys. J. 193

1974

Earlier work this paper cites.

K. S. Thorne, Astrophys. J. 191

1974

Earlier work this paper cites.

S. L. Detweiler, in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979)

1979

Earlier work this paper cites.

S. Detweiler, Astrophys. J. 239

1980

Earlier work this paper cites.

A. Strominger and C. Vafa, Phys. Lett. B 379

1996

Cited alongside, same era.

J. M. Bardeen and G. T. Horowitz, Phys. Rev. D 60

1999

Cited alongside, same era.

For the physical relevance of these near-extremal black holes to the conjectured universal relaxation bound, see [ 3 ] and also: A. Gruzinov, arXiv:gr-qc/0705.1725; A. Pesci, Class. Quantum Grav. 24

Original

2008

Cited alongside, same era.

For these unique black-hole resonances, see: S. Hod, Phys. Rev. D 75

Original

2009

Cited alongside, same era.

The Bekenstein-Hawking temperatures of Kerr black holes are given by the relation T BH = τ / 8 ​ π ​ M T_{\text{BH}}=\tau/8\pi M . We shall use units in which G = c = ℏ = 1 G=c=\hbar=1

Cited in the paper.

The parameter δ 2 \delta^{2} is closely related to the angular-eigenvalue of the angular Teukolsky equation, see [ 7 ] for details [see, in particular, equations (2.7) and (6.3) of [ 7 ] ]

Cited in the paper.

That is, as shown in [ 8 ] , the expression ( 7

Cited in the paper.

The failure in [ 2 ] to observe these resonances numerically is probably the reason behind the erroneous claim [see Eq. ( 4

Cited in the paper.

In order to be on the safe side, we have added an extra order of magnitude to the inequality ( 10

Cited in the paper.

A. Zimmerman (private communication) has kindly updated me that he has not detected in his numerical studies DMs in the regime μ > μ c \mu>\mu_{\text{c}} for a rapidly-rotating Kerr black hole with a / M = 1 − 10 − 9 {{a}/{M}}=1-10^{-9}

Cited in the paper.

M. Guica, T. Hartman, W. Song, and A. Strominger, Phys. Rev. D 80

2009

Later among the works it cites.

S. Hod, Phys. Lett. B 715

Original

2012

Later among the works it cites.

H. Yang, F. Zhang, A. Zimmerman, D. A. Nichols, E. Berti, and Y. Chen, Phys. Rev. D 87

2013

Later among the works it cites.