Published November 15, 2023 | Version Published
Journal Article Open

Slowly decaying ringdown of a rapidly spinning black hole: Probing the no-hair theorem by small mass-ratio mergers with LISA

Abstract

The measurability of multiple quasinormal (QN) modes, including overtones and higher harmonics, with the Laser Interferometer Space Antenna is investigated by computing the gravitational wave (GW) signal induced by an intermediate or extreme mass ratio merger involving a supermassive black hole (SMBH). We confirm that the ringdown of rapidly spinning black holes are long-lived, and higher harmonics of the ringdown are significantly excited for mergers of small mass ratios. We investigate the measurability and separability of the QN modes for such mergers and demonstrate that the observation of GWs from rapidly rotating SMBHs has an advantage for detecting superposed QN modes and testing the no-hair theorem of black holes.

Copyright and License

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Acknowledgement

N. O. was supported by the Special Postdoctoral Researcher (SPDR) Program at RIKEN, FY2021 Incentive Research Project at RIKEN, Grant-in-Aid for Scientific Research (KAKENHI) project for FY 2021 (JP21K20371) and FY2023 (JP23K13111). D.T. is supported by the Sherman Fairchild Postdoctoral Fellowship at the California Institute of Technology.

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Additional details

Identifiers

ISSN
2470-0029

Funding

RIKEN
Japan Society for the Promotion of Science
JP21K20371
Japan Society for the Promotion of Science
JP23K13111
California Institute of Technology
Sherman Fairchild Postdoctoral Fellowship

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