Gravitational waves from binaries on unbound orbits

Abstract

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular equations of a binary system taking into account the first order post-newtonian (1PN) is given. The gravitational radiation field emitted by the system is computed in the 1PN approximation including higher multipole moments beyond the standard quadrupole term. The gravitational waveforms in the time domain are explicitly given up to the 1PN order for unbound orbits, but the results are also illustrated on binaries on elliptic orbits with special attention given to the effects of eccentricity.

27 pages, 10 figures, to appear in Phys. Rev. D

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Cited by in corpus (13)

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• The gravitational-wave memory from eccentric binaries
• Spinning waveforms from KMOC at leading order
• Gravitational waves from spinning compact binaries in hyperbolic orbits
• Gravitational Radiation from hyperbolic encounters in the presence of dark matter
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Spinning compact binary dynamics and chameleon orbits
• Hyperbolic-like elastic scattering of spinning particles by a Schwarzschild black hole
• Study on the detectability of gravitational radiation from single-binary encounters between black holes in nuclear star cluster: the case of hyperbolic flybys
• Relativistic scattering of a fast spinning neutron star by a massive black hole
• Gravitational wave signals from long lasting binary-single black hole encounters
• Memory effect from spinning unbound binaries
• The remains of a spinning, hyperbolic encounter