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Free keywords:
Astrophysics, Galaxy Astrophysics, astro-ph.GA,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,General Relativity and Quantum Cosmology, gr-qc
Abstract:
The dynamical evolution of binaries of intermediate-massive black holes
(IMBHs, massive black holes with a mass ranging between $10^2$ and $10^4
M_{\odot}$) in stellar clusters has recently received an increasing amount of
attention. This is at least partially due to the fact that if the binary is
hard enough to evolve to the phase at which it will start emitting
gravitational waves (GWs) efficiently, there is a good probability that it will
be detectable by future space-borne detectors like LISA. We study this
evolution in the presence of rotation in the cluster. The eccentricity is
strongly connected to the initial IMBHs velocities, and values of $\sim 0.7$ up
to 0.9 are reached for low initial velocities, while almost circular orbits
result if the initial velocities are increased. A Monte Carlo study indicates
that these sources will be detectable by a detector such as LISA with median
signal to noise ratios of between 10 and 20 over a three year period, although
some events had signal to noise ratios of 300 or greater. Furthermore, one
should also be able to estimate the chirp-mass with median fractional errors of
$10^{-4}$, reduced mass on the order of $10^{-3}$ and luminosity distance on
the order of $10^{-1}$. Finally, these sources will have a median angular
resolution in the LISA detector of about 3 square degrees, putting events
firmly in the field of view of future electromagnetic detectors such as LSST.
