M. Rajagopal et Rw. Romani, ULTRA-LOW-FREQUENCY GRAVITATIONAL-RADIATION FROM MASSIVE BLACK-HOLE BINARIES, The Astrophysical journal, 446(2), 1995, pp. 543-549
For massive black hole binaries produced in galactic mergers, we exami
ne the possibility of inspiral induced by interaction with field stars
. We model the evolution of such binaries for a range of galaxy core a
nd binary parameters, using numerical results from the literature to c
ompute the binary's energy and angular momentum loss rates due to stel
lar encounters and including the effect of back-action on the field st
ars. We find that only a small fraction of binary systems can merge wi
thin a Hubble time via unassisted stellar dynamics. External perturbat
ions may, however, cause efficient inspiral. Averaging over a populati
on of central black holes and galaxy mergers, we computed the expected
background of gravitational radiation with periods P-w similar to 1-1
0 yr. Comparison with sensitivities from millisecond pulsar timing sug
gests that the strongest sources may be detectable with modest improve
ments to present experiments.