摘要: We investigate for the first time the effect of the dark matter (DM) halos
collisions, namely collisions of galaxies and galaxy clusters, through
gravitational bremsstrahlung, on the stochastic gravitational wave background.
We first calculate the gravitational wave signal of a single collision event,
assuming point masses and linear perturbation theory. Then we proceed to the
calculation of the energy spectrum of the collective effect of all dark matter
collisions in the Universe. Concerning the DM halo collision rate we show that
it is given by the product of the number density of DM halos, which is
calculated by the extended Press-Schechter (EPS) theory, with the collision
rate of a single DM halo, which is given by simulation results, with a function
of the linear growth rate of matter density through cosmological evolution.
Hence, integrating over all mass and distance ranges, we finally extract the
spectrum of the stochastic gravitational wave background created by DM halos
collisions. As we show, the resulting contribution to the stochastic
gravitational wave background is of the order of $h_{c} \approx 10^{-30}$ in
the pulsar timing array (PTA) band of $f \approx 10^{-9} Hz$, much smaller than
other GW sources, such as super-massive black-hole mergers. However, in very
low frequency band, it is larger. With current observational sensitivity it
cannot be detected, nevertheless it may be accessible by PTA in the future,
where techniques of distinguishing signal overlap should be used in order to
isolate it and use it for cosmological studies.