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Testing the no-hair theorem with black hole ringdowns using TIGER

Meidam, J., Agathos, M., Van Den Broeck, C., Veitch, J. and Sathyaprakash, Bangalore Suryanarayana ORCID: https://orcid.org/0000-0003-3845-7586 2014. Testing the no-hair theorem with black hole ringdowns using TIGER. Physical Review D 90 , 064009. 10.1103/PhysRevD.90.064009

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Abstract

The Einstein Telescope, a proposed third-generation gravitational-wave observatory, would enable tests of the no-hair theorem by looking at the characteristic frequencies and damping times of black hole ringdown signals. In previous work it was shown that with a single 500–1000  M ⊙ black hole at a distance ≲6 Gpc (or redshift z≲1 ), deviations of a few percent in the frequencies and damping times of dominant and subdominant modes would be within the range of detectability. Given that such sources may be relatively rare, it is of interest to see how well the no-hair theorem can be tested with events at much larger distances and with smaller signal-to-noise ratios, thus accessing a far bigger volume of space and a larger number of sources. We employ a model-selection scheme called TIGER (Test Infrastructure for GEneral Relativity), which was originally developed to test general relativity with weak binary coalescence signals that will be seen in second-generation detectors, such as Advanced LIGO and Advanced Virgo. TIGER is well suited for the regime of low signal-to-noise ratios, and information from a population of sources can be combined so as to arrive at a stronger test. By performing a range of simulations using the expected noise power spectral density of the Einstein Telescope, we show that with TIGER, similar deviations from the no-hair theorem (such as those considered in previous works) will be detectable with great confidence using O(10) sources distributed uniformly in a comoving volume out to 50  Gpc (z≲5) .

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Physics and Astronomy
Subjects: Q Science > QB Astronomy
Additional Information: Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/1550-7998/ (accessed 27/04/2016)
Publisher: American Physical Society
ISSN: 1550-7998
Funders: STFC
Date of First Compliant Deposit: 22 April 2016
Date of Acceptance: 4 September 2014
Last Modified: 09 May 2023 13:13
URI: https://orca.cardiff.ac.uk/id/eprint/89748

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