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Spinning test particles in a Kerr field -- I

Monthly Notices of the Royal Astronomical Society

Wiley

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      Most cited references 64

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      Spin-induced orbital precession and its modulation of the gravitational waveforms from merging binaries

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        Spinning Test-Particles in General Relativity. I

         A Papapetrou (1951)
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          Is Open Access

          Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects

          We examine the effects of spin-orbit and spin-spin coupling on the inspiral of a coalescing binary system of spinning compact objects and on the gravitational radiation emitted therefrom. Using a formalism developed by Blanchet, Damour, and Iyer, we calculate the contributions due to the spins of the bodies to the symmetric trace-free radiative multipole moments which are used to calculate the waveform, energy loss, and angular momentum loss from the inspiralling binary. Using equations of motion which include terms due to spin-orbit and spin-spin coupling, we evolve the orbit of a coalescing binary and use the orbit to calculate the emitted gravitational waveform. We find the spins of the bodies affect the waveform in several ways: 1) The spin terms contribute to the orbital decay of the binary, and thus to the accumulated phase of the gravitational waveform. 2) The spins cause the orbital plane to precess, which changes the orientation of the orbital plane with respect to an observer, thus causing the shape of the waveform to be modulated. 3) The spins contribute directly to the amplitude of the waveform. We discuss the size and importance of spin effects for the case of two coalescing neutron stars, and for the case of a neutron star orbiting a rapidly rotating \(10M_\odot\) black hole.
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            Author and article information

            Journal
            Monthly Notices of the Royal Astronomical Society
            Monthly Notices of the Royal Astronomical Society
            Wiley
            0035-8711
            1365-2966
            September 23 1999
            September 23 1999
            : 308
            : 3
            : 863-875
            10.1046/j.1365-8711.1999.02754.x
            © 1999

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