Testing the nohair theorem with black hole ringdowns using TIGER
Abstract
The Einstein Telescope, a proposed thirdgeneration gravitationalwave observatory, would enable tests of the nohair 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 nohair theorem can be tested with events at much larger distances and with smaller signaltonoise ratios, thus accessing a far bigger volume of space and a larger number of sources. We employ a modelselection 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 secondgeneration detectors, such as Advanced LIGO and Advanced Virgo. TIGER is well suited for the regime of low signaltonoise 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 nohair 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).
 Publication:

Physical Review D
 Pub Date:
 September 2014
 DOI:
 10.1103/PhysRevD.90.064009
 arXiv:
 arXiv:1406.3201
 Bibcode:
 2014PhRvD..90f4009M
 Keywords:

 04.25.dg;
 04.80.Nn;
 95.55.Ym;
 04.80.Cc;
 Numerical studies of black holes and blackhole binaries;
 Gravitational wave detectors and experiments;
 Gravitational radiation detectors;
 mass spectrometers;
 and other instrumentation and techniques;
 Experimental tests of gravitational theories;
 General Relativity and Quantum Cosmology
 EPrint:
 11 pages, 20 figures. Matches version in PRD