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  Ringdown overtones, black hole spectroscopy and, no-hair theorem tests

Bhagwat, S., Forteza, F. J., Pani, P., & Ferrari, V. (2020). Ringdown overtones, black hole spectroscopy and, no-hair theorem tests. Physical Review D, (4): 044033. doi:10.1103/PhysRevD.101.044033.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0004-E6D3-A Version Permalink: http://hdl.handle.net/21.11116/0000-0005-C16F-5
Genre: Journal Article

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 Creators:
Bhagwat, Swetha, Author
Forteza, Francisco Jimenez1, Author              
Pani, Paolo, Author
Ferrari, Valeria, Author
Affiliations:
1Observational Relativity and Cosmology, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, ou_24011              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE
 Abstract: Validating the black-hole no-hair theorem with gravitational-wave observations of compact binary coalescences provide a compelling argument that the remnant object is indeed a black hole as described by the general theory of relativity. This requires performing a spectroscopic analysis of the post-merger signal and resolving the frequencies of either different angular modes or overtones (of the same angular mode). For a nearly-equal mass binary black-hole system, only the dominant angular mode ($l=m=2$) is sufficiently excited and the overtones are instrumental to perform this test. Here we investigate the robustness of modelling the post-merger signal of a binary black hole coalescence as a superposition of overtones. Further, we study the bias expected in the recovered frequencies as a function of the start time of a spectroscopic analysis and provide a computationally cheap procedure to choose it based on the interplay between the expected statistical error due to the detector noise and the systematic errors due to waveform modelling. Moreover, since the overtone frequencies are closely spaced, we find that resolving the overtones is particularly challenging and requires a loud ringdown signal. Rayleigh's resolvability criterion suggests that --~in an optimistic scenario~-- a ringdown signal-to-noise ratio larger than $\sim 30$ (achievable possibly with LIGO at design sensitivity and routinely with future interferometers such as Einstein Telescope, Cosmic Explorer, and LISA) is necessary to resolve the overtone frequencies. We then conclude with discussions on some conceptual issues associated with black-hole spectroscopy with overtones.

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 Dates: 2019-10-192020
 Publication Status: Published in print
 Pages: 19 pages, 18 figures
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1910.08708
URI: http://arxiv.org/abs/1910.08708
DOI: 10.1103/PhysRevD.101.044033
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: (4) Sequence Number: 044033 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258