Asymptotic black hole quasinormal frequencies

By L. Motl, Andrew Neitzke. 2003

314 citations recorded by the source corpus.

We give a new derivation of the quasinormal frequencies of Schwarzschild black holes in d>=4 and Reissner-Nordstrom black holes in d=4, in the limit of infinite damping. For Schwarzschild in d>=4 we find that the asymptotic real part is T_Hawking.log(3) for scalar perturbations and for some gravitational perturbations: this confirms a result previously obtained by other means in the case d=4. For Reissner-Nordstrom in d=4 we find a specific generally aperiodic behavior for the quasinormal frequencies, both for scalar perturbations and for electromagnetic-gravitational perturbations. The formulae are obtained by studying the monodromy of the perturbation analytically continued to the complex plane: the analysis depends essentially on the behavior of the potential in the unphysical region near the black hole singularity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1efaca793751cdd2bec8455d4579bca4f91eb078

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Citations in the corpus

A primer on resurgent transseries and their asymptotics (2018, background): “, [190, 193, 57, 192, 143]) and, in fact, it would be very interesting to further apply resurgent analysis to this large class of gravitational problems.”
On the classification of asymptotic quasinormal frequencies for $d$-dimensional black holes and quantum gravity (2004, methodology): “This includes a brief review of quasinormal modes, as well as the Schwarzschild case of [14], for both completeness and pedagogical purposes.”
Gravity and the Thermodynamics of Horizons (2003, background): “The ln(3) in the above equation is not negotiable [136,137,138,139].”
Black hole determinants and quasinormal modes (2009, unknown): “Examples of such computations include [46, 47, 48, 49, 50].”
AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM (2003, methodology): “The approach used in [32] does not seem to work for the Heun equation, while the one employed in [33] is promising.”
Gravity and the thermodynamics of horizons (2005, background): “l modes [see e.g.,[132,133,134,135]]. These modes have discrete frequencies which are complex, given by ωn = i n+(1/2) 4M + ln(3) 8πM +O(n−1/2) (116) The ln(3) in the above equation is not negotiable [136,137,138,139]. If one chooses SO(3) as the gauge group, then one can connect up the frequency of”
DE SITTER MUSINGS (2012, result): “This is in contrast to the quasinormal mode spectrum of the Schwarszchild black hole [54, 55, 56] or asymptotically AdS black holes [57, 58] which typically have a real part which is some function of the momenta.”
Quantum oscillations and black hole ringing (2009, methodology): “The method used for obtaining the asymptotic behavior of quasinormal modes was pioneered by [54].”