Gravitomagnetic corrections on gravitational waves

TL;DR

This paper investigates how gravitomagnetic corrections influence gravitational waveforms emitted during binary system captures, revealing new effects like nutation that could be detected by future space-based interferometers such as LISA.

Contribution

It introduces the impact of gravitomagnetic corrections, including nutation effects, on gravitational wave emission in relativistic binary systems, expanding beyond standard general relativity predictions.

Findings

Gravitomagnetic corrections significantly alter gravitational waveforms.

Nutation effects emerge at c^{-3} order in relativistic orbits.

Predicted signals could be detected by LISA in dense stellar environments.

Abstract

Gravitational waveforms and production could be considerably affected by gravitomagnetic corrections considered in relativistic theory of orbits. Beside the standard periastron effect of General Relativity, new nutation effects come out 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 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 the gravitational wave luminosity, the total energy output and the gravitational radiation amplitude. From a crude estimate of the expected number of events towards peculiar targets (e.g. globular clusters) and in particular, the rate of events per year for dense stellar clusters at the Galactic Center (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.