Gravitational waves from spinning compact object binaries: New post-Newtonian results
arXiv:1312.5375
Abstract
We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at the spin-orbit (linear-in-spin) level and solving Einstein's field equations iteratively in harmonic coordinates as well as the multipolar post-Newtonian formalism. The dynamics of the binary was tackled at the next-to-next-to-leading order, corresponding to the 3.5 post-Newtonian (PN) order for maximally spinning objects, and the result is found to be consistent with a previously obtained reduced Hamiltonian in the ADM approach. The corresponding contribution to the energy flux emitted by the binary was obtained at the 3.5PN order, as well as the next-to-leading 4PN tail contribution to this flux, an imprint of the non-linearity in the propagation of the wave. These new terms can be used to build more accurate PN templates for the next generation of gravitational wave detectors. We give an illustrative estimate of the quantitative relevance of the new terms in the orbital phasing of the binary.
7 pages; to appear in the proceedings of the conference HTGRG (Quy Nhon, Vietnam, 2013)
References in corpus (3)
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Cited by in corpus (4)
- Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
- Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
- Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
- Gyroscopes orbiting black holes: A frequency-domain approach to precession and spin-curvature coupling for spinning bodies on generic Kerr orbits