Gravitomagnetic corrections on gravitational waves

Gravitational waveforms and production can be considerably affected by gravitomagnetic corrections considered in the relativistic theory of orbits. Besides the standard periastron effect of general relativity, new nutation effects arise when c−3 corrections are taken into account. Such corrections emerge as soon as matter-current densities and vector gravitational potentials cannot be discarded into dynamics. We study the gravitational waves (GWs) emitted through the capture, in the gravitational field of massive binary systems (e.g. a very massive black hole on which a stellar object is inspiralling) via the quadrupole approximation, considering precession and nutation effects. We present a numerical study to obtain GW luminosity, total energy output and gravitational radiation amplitude. From a crude estimate of the expected number of events toward peculiar targets (e.g. globular clusters) and, in particular, the rate of events per year for dense stellar clusters at the Galactic Center (Sagittarius region (SgrA*)), we conclude that this type of capture could give signatures to be revealed by interferometric GW antennas, in particular by the forthcoming laser interferometer space antenna (LISA).