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We obtain analytical gravitational waveforms in the frequency-domain for precessing, quasi-circular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

The coalescence of compact objects is one of the most promising sources of gravitational waves for ground-based interferometric detectors, such as advanced LIGO and Virgo. Generically, com- pact objects in binaries are expected to be…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

We present a simple method to track the precession of a black-hole-binary system, using only information from the gravitational-wave (GW) signal. Our method consists of locating the frame from which the magnitude of the $(\ell=2,|m|=2)$…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Patricia Schmidt , Mark Hannam , Sascha Husa , P. Ajith

Spin-induced quadrupole moments provide an important characterization of compact objects, such as black holes, neutron stars and black hole mimickers inspired by additional fields and/or modified theories of gravity. Black holes in general…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Zhenwei Lyu , Michael LaHaye , Huan Yang , Béatrice Bonga

We calculate analytical gravitational waveforms in the time- and frequency-domain for precessing quasi-circular binaries with spins of arbitrary magnitude, but nearly aligned with the orbital angular momentum. We first derive an analytical…

General Relativity and Quantum Cosmology · Physics 2014-06-03 Antoine Klein , Neil Cornish , Nicolás Yunes

Extracting the properties of a binary system emitting gravitational waves relies on models describing the last stages of the compact binary coalescence. In this article, we study potential biases inherent to current tidal waveform…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Anuradha Samajdar , Tim Dietrich

Given the absence of observations of black hole binaries, it is critical that the full range of accessible parameter space be explored in anticipation of future observation with gravitational wave detectors. To this end, we compile the…

General Relativity and Quantum Cosmology · Physics 2011-07-29 Janna Levin , Sean T. McWilliams , Hugo Contreras

For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

In this paper, we derive a set of equations of motions for binaries on eccentric orbits undergoing spin-induced precession that can efficiently be integrated on the radiation-reaction timescale. We find a family of solutions with a…

General Relativity and Quantum Cosmology · Physics 2021-06-22 Antoine Klein

We build two families of inspiral waveforms for precessing binaries on eccentric orbits in the Fourier domain. To achieve this, we use a small eccentricity expansion of the waveform amplitudes in order to separate the periastron precession…

General Relativity and Quantum Cosmology · Physics 2018-11-29 Antoine Klein , Yannick Boetzel , Achamveedu Gopakumar , Philippe Jetzer , Lorenzo de Vittori

The inference of binary neutron star properties from gravitational-wave observations requires the generation of millions of waveforms, each one spanning about three order of magnitudes in frequency range. Thus, waveform models must be…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Rossella Gamba , Sebastiano Bernuzzi , Alessandro Nagar

Binary-black-hole orbits precess when the black-hole spins are mis-aligned with the binary's orbital angular momentum. The apparently complicated dynamics can in most cases be described as simple precession of the orbital angular momentum…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Stephen Fairhurst , Rhys Green , Charlie Hoy , Mark Hannam , Alistair Muir

We present the first set of numerical relativity simulations of binary neutron mergers that include spin precession effects and are evolved with multiple resolutions. Our simulations employ consistent initial data in general relativity with…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Tim Dietrich , Sebastiano Bernuzzi , Bernd Bruegmann , Maximiliano Ujevic , Wolfgang Tichy

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

In coming years, gravitational wave detectors should find black hole-neutron star binaries, potentially coincident with astronomical phenomena like short GRBs. These binaries are expected to precess. Gravitational wave science requires a…

General Relativity and Quantum Cosmology · Physics 2014-02-19 A. Lundgren , R. O'Shaughnessy

Self-gravitating bodies can have an arbitrarily complex shape, which implies a much richer multipolar structure than that of a black hole in General Relativity. With this motivation, we study the corrections to the dynamics of a binary…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Nicholas Loutrel , Richard Brito , Andrea Maselli , Paolo Pani

Current searches for compact binary mergers by ground-based gravitational-wave detectors assume for simplicity the two bodies are not spinning. If the binary contains compact objects with significant spin, then this can reduce the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Duncan A. Brown , Andrew Lundgren , Richard O'Shaughnessy

We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multi-timescale methods. In addition to the commonly used effective spin which acts as a constant of motion, we exploit…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Davide Gerosa , Giulia Fumagalli , Matthew Mould , Giovanni Cavallotto , Diego Padilla Monroy , Daria Gangardt , Viola De Renzis

Spin precession is a generic feature of compact binary coalescences, which leaves clear imprints in the gravitational waveforms. Building on previous work, we present an efficient time domain inspiral-merger-ringdown effective-one-body…

General Relativity and Quantum Cosmology · Physics 2022-07-27 Rossella Gamba , Sarp Akçay , Sebastiano Bernuzzi , Jake Williams

Gravitational-wave observations of merging compact binaries hold the key to precision measurements of the objects' masses and spins. General-relativistic precession, caused by spins misaligned with the orbital angular momentum, is…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Geraint Pratten , Patricia Schmidt , Riccardo Buscicchio , Lucy M. Thomas
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