Abstract
We compute the quasinormal frequencies of d-dimensional spherically symmetric black holes with leading string α′ corrections for tensorial gravitational perturbations in the highly damped regime. We solve perturbatively the master differential equation and we compute the monodromies of the master perturbation variable (analytically continued to the complex plane) in different contours, in order to obtain the quasinormal mode spectra. We proceed analogously for the quasinormal modes of test scalar fields. Differently than in Einstein gravity, we obtain distinct results for the two cases.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Berti, V. Cardoso and A. O. Starinets, Quasinormal modes of black holes and black branes, Class. Quant. Grav. 26 (2009) 163001 [arXiv:0905.2975] [INSPIRE].
R. A. Konoplya, On quasinormal modes of small Schwarzschild-anti-de Sitter black hole, Phys. Rev. D 66 (2002) 044009 [hep-th/0205142] [INSPIRE].
R. A. Konoplya, Quasinormal behavior of the d-dimensional Schwarzschild black hole and higher order WKB approach, Phys. Rev. D 68 (2003) 024018 [gr-qc/0303052] [INSPIRE].
R. A. Konoplya and A. Zhidenko, Quasinormal modes of black holes: From astrophysics to string theory, Rev. Mod. Phys. 83 (2011) 793 [arXiv:1102.4014] [INSPIRE].
G. Panotopoulos, Electromagnetic quasinormal modes of the nearly-extremal higher-dimensional Schwarzschild-de Sitter black hole, Mod. Phys. Lett. A 33 (2018) 1850130 [arXiv:1807.03278] [INSPIRE].
K. Destounis, R. D. B. Fontana and F. C. Mena, Accelerating black holes: quasinormal modes and late-time tails, Phys. Rev. D 102 (2020) 044005 [arXiv:2005.03028] [INSPIRE].
K. Destounis, G. Panotopoulos and Á. Rincón, Stability under scalar perturbations and quasinormal modes of 4D Einstein-Born-Infeld dilaton spacetime: exact spectrum, Eur. Phys. J. C 78 (2018) 139 [arXiv:1801.08955] [INSPIRE].
G. Panotopoulos and Á. Rincón, Quasinormal modes of black holes in Einstein-power-Maxwell theory, Int. J. Mod. Phys. D 27 (2017) 1850034 [arXiv:1711.04146] [INSPIRE].
Á. Rincón and G. Panotopoulos, Quasinormal modes of scale dependent black holes in (1 + 2)-dimensional Einstein-power-Maxwell theory, Phys. Rev. D 97 (2018) 024027 [arXiv:1801.03248] [INSPIRE].
L. Motl and A. Neitzke, Asymptotic black hole quasinormal frequencies, Adv. Theor. Math. Phys. 7 (2003) 307 [hep-th/0301173] [INSPIRE].
D. Birmingham, Asymptotic quasinormal frequencies of d-dimensional Schwarzschild black holes, Phys. Lett. B 569 (2003) 199 [hep-th/0306004] [INSPIRE].
N. Andersson and C. J. Howls, The Asymptotic quasinormal mode spectrum of nonrotating black holes, Class. Quant. Grav. 21 (2004) 1623 [gr-qc/0307020] [INSPIRE].
S. Musiri and G. Siopsis, On Quasinormal modes of Kerr black holes, Phys. Lett. B 579 (2004) 25 [hep-th/0309227] [INSPIRE].
V. Cardoso, J. Natário and R. Schiappa, Asymptotic quasinormal frequencies for black holes in nonasymptotically flat space-times, J. Math. Phys. 45 (2004) 4698 [hep-th/0403132] [INSPIRE].
S. Musiri and G. Siopsis, Asymptotic form of quasinormal modes of large AdS black holes, Phys. Lett. B 576 (2003) 309 [hep-th/0308196] [INSPIRE].
J. Natário and R. Schiappa, On the classification of asymptotic quasinormal frequencies for d-dimensional black holes and quantum gravity, Adv. Theor. Math. Phys. 8 (2004) 1001 [hep-th/0411267] [INSPIRE].
H.-P. Nollert, Quasinormal modes of Schwarzschild black holes: The determination of quasinormal frequencies with very large imaginary parts, Phys. Rev. D 47 (1993) 5253 [INSPIRE].
V. Cardoso, R. Konoplya and J. P. S. Lemos, Quasinormal frequencies of Schwarzschild black holes in anti-de Sitter space-times: A Complete study on the asymptotic behavior, Phys. Rev. D 68 (2003) 044024 [gr-qc/0305037] [INSPIRE].
E. Berti and K. D. Kokkotas, Asymptotic quasinormal modes of Reissner-Nordstrom and Kerr black holes, Phys. Rev. D 68 (2003) 044027 [hep-th/0303029] [INSPIRE].
E. Berti, V. Cardoso, K. D. Kokkotas and H. Onozawa, Highly damped quasinormal modes of Kerr black holes, Phys. Rev. D 68 (2003) 124018 [hep-th/0307013] [INSPIRE].
J. L. Blázquez-Salcedo et al., Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission, Phys. Rev. D 94 (2016) 104024 [arXiv:1609.01286] [INSPIRE]
P. A. Cano, K. Fransen and T. Hertog, Ringing of rotating black holes in higher-derivative gravity, Phys. Rev. D 102 (2020) 044047 [arXiv:2005.03671] [INSPIRE].
L. Pierini and L. Gualtieri, Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the first order in rotation, Phys. Rev. D 103 (2021) 124017 [arXiv:2103.09870] [INSPIRE].
F. Moura and J. Rodrigues, Eikonal quasinormal modes and shadow of string-corrected d-dimensional black holes, Phys. Lett. B 819 (2021) 136407 [arXiv:2103.09302] [INSPIRE].
R. G. Daghigh, G. Kunstatter and J. Ziprick, The Mystery of the asymptotic quasinormal modes of Gauss-Bonnet black holes, Class. Quant. Grav. 24 (2007) 1981 [gr-qc/0611139] [INSPIRE].
H. Kodama and A. Ishibashi, A Master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions, Prog. Theor. Phys. 110 (2003) 701 [hep-th/0305147] [INSPIRE].
F. Moura and R. Schiappa, Higher-derivative corrected black holes: Perturbative stability and absorption cross-section in heterotic string theory, Class. Quant. Grav. 24 (2007) 361 [hep-th/0605001] [INSPIRE].
F. Moura, Tensorial perturbations and stability of spherically symmetric d-dimensional black holes in string theory, Phys. Rev. D 87 (2013) 044036 [arXiv:1212.2904] [INSPIRE].
C. G. Callan Jr., R. C. Myers and M. J. Perry, Black Holes in String Theory, Nucl. Phys. B 311 (1989) 673 [INSPIRE].
F. Moura, String-corrected dilatonic black holes in d dimensions, Phys. Rev. D 83 (2011) 044002 [arXiv:0912.3051] [INSPIRE].
V. Cardoso and J. P. S. Lemos, Black hole collision with a scalar particle in four-dimensional, five-dimensional and seven-dimensional anti-de Sitter space-times: Ringing and radiation, Phys. Rev. D 66 (2002) 064006 [hep-th/0206084] [INSPIRE].
S. Musiri and G. Siopsis, Perturbative calculation of quasinormal modes of Schwarzschild black holes, Class. Quant. Grav. 20 (2003) L285 [hep-th/0308168] [INSPIRE].
V. Cardoso, J. P. S. Lemos and S. Yoshida, Quasinormal modes of Schwarzschild black holes in four-dimensions and higher dimensions, Phys. Rev. D 69 (2004) 044004 [gr-qc/0309112] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2105.02616
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Moura, F., Rodrigues, J. Asymptotic quasinormal modes of string-theoretical d-dimensional black holes. J. High Energ. Phys. 2021, 78 (2021). https://doi.org/10.1007/JHEP08(2021)078
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP08(2021)078