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Journal Article

#### A no-hair test for binary black holes

##### Fulltext (public)

1804.03297.pdf

(Preprint), 411KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Dhanpal, S., Ghosh, A., Mehta, A. K., Ajith, P., & Sathyaprakash, B. S. (2019).
A no-hair test for binary black holes.* Physical Review D,* *99*:
104056. doi:10.1103/PhysRevD.99.104056.

Cite as: http://hdl.handle.net/21.11116/0000-0003-BFF6-1

##### Abstract

One of the consequences of the black-hole "no-hair" theorem in general
relativity (GR) is that gravitational radiation (quasi-normal modes) from a
perturbed Kerr black hole is uniquely determined by its mass and spin. Thus,
the spectrum of quasi-normal mode frequencies have to be all consistent with
the same value of the mass and spin. Similarly, the gravitational radiation
from a coalescing binary black hole system is uniquely determined by a small
number of parameters (masses and spins of the black holes and orbital
parameters). Thus, consistency between different spherical harmonic modes of
the radiation is a powerful test that the observed system is a binary black
hole predicted by GR. We formulate such a test, develop a Bayesian
implementation, demonstrate its performance on simulated data and investigate
the possibility of performing such a test using previous and upcoming
gravitational wave observations.