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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 measurement of spin-precession and orbital eccentricity in gravitational-wave (GW) signals is a key priority in GW astronomy, as these effects not only provide insights into the astrophysical formation and evolution of compact binaries…

General Relativity and Quantum Cosmology · Physics 2025-04-22 Gonzalo Morras , Geraint Pratten , Patricia Schmidt

Mounting evidence indicates that some of the gravitational wave signals observed by the LIGO/Virgo/KAGRA observatories might arise from eccentric compact object binaries, increasing the urgency for accurate waveform models for such systems.…

We derive an effective potential for binary black-hole (BBH) spin precession at second post-Newtonian order. This effective potential allows us to solve the orbit-averaged spin-precession equations analytically for arbitrary mass ratios and…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Michael Kesden , Davide Gerosa , Richard O'Shaughnessy , Emanuele Berti , Ulrich Sperhake

We present a time domain waveform model that describes the inspiral-merger-ringdown (IMR) of compact binary systems whose components are non-spinning, and which evolve on orbits with low to moderate eccentricity. The inspiral evolution is…

Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination angle, precession phase and spin vectors as…

General Relativity and Quantum Cosmology · Physics 2010-01-19 Dong-Hoon Kim

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

Observations of gravitational-wave signals emitted by compact binary inspirals provide unique insights into their properties, but their analysis requires accurate and efficient waveform models. Intermediate- and extreme-mass-ratio inspirals…

We analyze in detail the spin precession equations in binary black hole systems, when the tidal torque on a Kerr black hole due to quadrupole-monopole coupling is taken into account. We show that completing the precession equations with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etienne Racine

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

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

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton

We provide a systematic analysis of the multipolar gravitational waveform, energy and angular momentum fluxes emitted by a nonspinning test particle orbiting a Kerr black hole along equatorial, eccentric orbits. These quantities are…

General Relativity and Quantum Cosmology · Physics 2022-03-31 Simone Albanesi , Alessandro Nagar , Sebastiano Bernuzzi

Gravitational-wave (GW) signals from coalescing compact binaries carry enormous information about the source dynamics and are an excellent tool to probe unknown astrophysics and fundamental physics. Though the updated catalog of compact…

General Relativity and Quantum Cosmology · Physics 2022-03-10 N V Krishnendu , Frank Ohme

Gravitational waves from coalescing binary black holes encode the evolution of their spins prior to merger. In the post-Newtonian regime and on the precession timescale, this evolution has one of three morphologies, with the spins either…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Daniele Trifirò , Richard O'Shaughnessy , Davide Gerosa , Emanuele Berti , Michael Kesden , Tyson Littenberg , Ulrich Sperhake

We construct effective-one-body waveform models suitable for data analysis with LISA for extreme-mass ratio inspirals in quasi-circular, equatorial orbits about a spinning supermassive black hole. The accuracy of our model is established…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Nicolas Yunes , Alessandra Buonanno , Scott A. Hughes , Yi Pan , Enrico Barausse , M. Coleman Miller , William Throwe

Building initial conditions for generic binary black-hole evolutions without initial spurious eccentricity remains a challenge for numerical-relativity simulations. This problem can be overcome by applying an eccentricity-removal procedure…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Alessandra Buonanno , Lawrence E. Kidder , Abdul H. Mroué , Harald P. Pfeiffer , Andrea Taracchini

Waveform models are important to gravitational wave data analysis. People recently pay much attention to the waveform model construction for eccentric binary black hole coalescence. Several Effective-One-Body Numerical-Relativity waveform…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Xiaolin Liu , Zhoujian Cao , Zong-Hong Zhu

Orbital eccentricity and spin precession are precious observables to infer the formation history of binary black holes with gravitational-wave data. We present a post-Newtonian, multi-timescale analysis of the binary dynamics able to…

General Relativity and Quantum Cosmology · Physics 2024-01-19 Giulia Fumagalli , Davide Gerosa

We present a new effective-one-body (EOB) model for eccentric binary coalescences. The model stems from the state-of-the-art model TEOBResumS$\_$SM for circularized coalescing black-hole binaries, that is modified to explicitly incorporate…

General Relativity and Quantum Cosmology · Physics 2020-10-29 Danilo Chiaramello , Alessandro Nagar