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Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole

Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole

We study the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole and identify the two - photon sphere and near-horizon - families of quasinormal modes (QNMs) of the black hole, computing the frequency spectra (for all the KN parameter space) of the modes with the slowest decay rate. We uncover a novel phenomenon for QNMs that is unique to the KN system, namely eigenvalue repulsion between QNM families. Such a feature is common in solid state physics where e.g., it is responsible for energy bands/gaps in the spectra of electrons moving in certain Schrödinger potentials. Exploiting the enhanced symmetries of the near-horizon limit of the near-extremal KN geometry, we also develop a matched asymptotic expansion that allows us to solve the perturbation problem using separation of variables and provides an excellent approximation to the KN QNM spectra near extremality. The KN QNM spectra derived here are needed not only to account for gravitational emission in astrophysical environments, such as the ones probed by LIGO, Virgo and LISA, but also to allow one to extract observational implications of several new physics scenarios, such as minicharged dark-matter or certain modified theories of gravity, whose observables degenerate to those of the KN solution at the scale of binary mergers.

2470-0029
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Godazgar, Mahdi
ebc387c2-967d-4075-9d65-0ae27bf8733b
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Carullo, Gregorio
59344321-0198-4559-98f9-9997f7b40050
Pozzo, Walter Del
2d04c293-70aa-41dd-b5c4-fcc71d4f4a98
Laghi, Danny
bb54c0e1-55a9-4b4e-888d-b642169eb0c0
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Godazgar, Mahdi
ebc387c2-967d-4075-9d65-0ae27bf8733b
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Carullo, Gregorio
59344321-0198-4559-98f9-9997f7b40050
Pozzo, Walter Del
2d04c293-70aa-41dd-b5c4-fcc71d4f4a98
Laghi, Danny
bb54c0e1-55a9-4b4e-888d-b642169eb0c0

Dias, Oscar J. C., Godazgar, Mahdi, Santos, Jorge E., Carullo, Gregorio, Pozzo, Walter Del and Laghi, Danny (2022) Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole. Physical Review D, 105 (8), [084044]. (doi:10.1103/PhysRevD.105.084044).

Record type: Article

Abstract

We study the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole and identify the two - photon sphere and near-horizon - families of quasinormal modes (QNMs) of the black hole, computing the frequency spectra (for all the KN parameter space) of the modes with the slowest decay rate. We uncover a novel phenomenon for QNMs that is unique to the KN system, namely eigenvalue repulsion between QNM families. Such a feature is common in solid state physics where e.g., it is responsible for energy bands/gaps in the spectra of electrons moving in certain Schrödinger potentials. Exploiting the enhanced symmetries of the near-horizon limit of the near-extremal KN geometry, we also develop a matched asymptotic expansion that allows us to solve the perturbation problem using separation of variables and provides an excellent approximation to the KN QNM spectra near extremality. The KN QNM spectra derived here are needed not only to account for gravitational emission in astrophysical environments, such as the ones probed by LIGO, Virgo and LISA, but also to allow one to extract observational implications of several new physics scenarios, such as minicharged dark-matter or certain modified theories of gravity, whose observables degenerate to those of the KN solution at the scale of binary mergers.

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Accepted/In Press date: 5 April 2021
Published date: 25 April 2022
Additional Information: Funding Information: The authors would like to thank Nathan Johnson-McDaniel for helpful discussions. We acknowledge the use of the cluster “Baltasar-Sete-Sóis,” and associated support services at CENTRA/IST, in the completion of this work. The authors further acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. O. C. D. acknowledges financial support from the STFC “Particle Physics Grants Panel (PPGP) 2016” Grant No. ST/P000711/1 and the STFC “Particle Physics Grants Panel (PPGP) 2018” Grant No. ST/T000775/1. M. G is supported by a Royal Society University Research Fellowship. J. E. S. has been partially supported by STFC consolidated Grants No. ST/P000681/1, No. ST/T000694/1. The research leading to these results has received funding from the European Research Council under the European Community’s Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement no. [247252]. Funding Information: The authors would like to thank Nathan Johnson-McDaniel for helpful discussions. We acknowledge the use of the cluster "Baltasar-Sete-S is," and associated support services at CENTRA/IST, in the completion of this work. The authors further acknowledge the use of the IRIDIS High Performance Computing Facility, and associated support services at the University of Southampton, in the completion of this work. O.?C.?D. acknowledges financial support from the STFC "Particle Physics Grants Panel (PPGP) 2016" Grant No. ST/P000711/1 and the STFC "Particle Physics Grants Panel (PPGP) 2018" Grant No. ST/T000775/1. M. G is supported by a Royal Society University Research Fellowship. J.?E.?S. has been partially supported by STFC consolidated Grants No. ST/P000681/1, No. ST/T000694/1. The research leading to these results has received funding from the European Research Council under the European Community s Seventh Framework Programme (FP7/2007-2013) / ERC Grant agreement no. [247252]. Publisher Copyright: © 2022 American Physical Society. Copyright: Copyright 2022 Elsevier B.V., All rights reserved.

Identifiers

Local EPrints ID: 457436
URI: http://eprints.soton.ac.uk/id/eprint/457436
ISSN: 2470-0029
PURE UUID: 636fcff9-61db-42a9-a3de-56ea4765dd61
ORCID for Oscar J. C. Dias: ORCID iD orcid.org/0000-0003-4855-4750

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Date deposited: 07 Jun 2022 17:01
Last modified: 08 Jun 2022 01:45

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Contributors

Author: Mahdi Godazgar
Author: Jorge E. Santos
Author: Gregorio Carullo
Author: Walter Del Pozzo
Author: Danny Laghi

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