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We present a new, fast method for computing the inspiral trajectory and gravitational waves from extreme mass-ratio inspirals that can incorporate all known (and future) self-force results. Using near-identity (averaging) transformations we…

General Relativity and Quantum Cosmology · Physics 2018-07-30 Maarten van de Meent , Niels Warburton

Compact binaries that emit gravitational waves in the sensitivity band of ground-based detectors can have non-negligible eccentricities just prior to merger, depending on the formation scenario. We develop a purely analytic,…

General Relativity and Quantum Cosmology · Physics 2014-10-15 E. A. Huerta , Prayush Kumar , Sean T. McWilliams , Richard O'Shaughnessy , Nicolas Yunes

Using our new numerical-relativity code SACRA, long-term simulations for inspiral and merger of black hole (BH)-neutron star (NS) binaries are performed, focusing particularly on gravitational waveforms. As the initial conditions, BH-NS…

General Relativity and Quantum Cosmology · Physics 2012-07-24 Masaru Shibata , Koutarou Kyutoku , Tetsuro Yamamoto , Keisuke Taniguchi

We study the validity of inspiral templates in gravitational wave data analysis with Advanced LIGO sensitivity for low mass binary black holes with total masses of $M \leq 30 Msun$. We mainly focus on the nonspinning system. As our complete…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Hee-Suk Cho

We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Koenigsdoerffer , Achamveedu Gopakumar

In this work we complete the spin-dependent conservative dynamics of inspiralling compact binaries at the fourth post-Newtonian order, and in particular the derivation of the next-to-next-to-leading order spin-squared interaction potential.…

General Relativity and Quantum Cosmology · Physics 2021-09-23 Michèle Levi , Jan Steinhoff

The detection of gravitational waves from Extreme mass Ratio Inspirals (EMRIs) by the future space-based gravitational-wave detectors demands the generation of accurate enough waveform templates. Since the spin of the smaller secondary body…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Viktor Skoupý , Georgios Lukes-Gerakopoulos

With the upcoming third-generation gravitational-wave detectors comes the need to build complete, faithful, and fast waveform models for asymmetric-mass-ratio compact binaries. Most efforts within the self-force community have focused on…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Loïc Honet , Lorenzo Küchler , Adam Pound , Geoffrey Compère

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

It is standard lore that gravitational radiation reaction circularizes the orbits of inspiralling binary systems. But in recent papers, Loutrel et al. have argued that at late times in such inspirals, one measure of eccentricity actually…

General Relativity and Quantum Cosmology · Physics 2019-10-14 Clifford M. Will

Searches for gravitational waves (GWs) from binary black holes using interferometric GW detectors require the construction of template banks for performing matched filtering while analyzing the data. Placement of templates over the…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Chinmay Kalaghatgi , Parameswaran Ajith , K. G. Arun

A binary extreme-mass-ratio inspiral (b-EMRI) is a hierarchical triple system consisting of a stellar-mass binary black hole (BBH) orbiting a central Kerr supermassive black hole (SMBH). Although predicted by several astrophysical models,…

General Relativity and Quantum Cosmology · Physics 2025-05-06 Yucheng Yin , Josh Mathews , Alvin J. K. Chua , Xian Chen

We compute the quadrupole mode of the gravitational waveform of inspiralling compact binaries at the third and a half post-Newtonian (3.5PN) approximation of general relativity. The computation is performed using the multipolar…

General Relativity and Quantum Cosmology · Physics 2012-10-01 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

The orbital and eccentricity evolution for compact object binaries through gravitational wave emission first derived by Peters and Mathews are used extensively throughout the gravitational wave community for calculating the orbital…

High Energy Astrophysical Phenomena · Physics 2026-03-23 Max M. Briel , Jeff J. Andrews

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

Characterizing eccentricity in gravitational waveforms in a consistent manner is crucial to facilitate parameter estimation, astrophysical population studies, as well as searches for these rare systems. We present a framework to…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Tousif Islam , Tejaswi Venumadhav

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

Standard choices of quasi-circular orbit parameters for black-hole binary evolutions result in eccentric inspiral. We introduce a conceptually simple method, which is to integrate the post-Newtonian equations of motion through hundreds of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sascha Husa , Mark Hannam , Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

Although mass transfer (MT) has been studied primarily in circular binaries, observations show that it also occurs in eccentric systems. We investigate orbital evolution during nonconservative MT in eccentric orbits, a process especially…

Solar and Stellar Astrophysics · Physics 2026-02-25 A. Parkosidis , S. Toonen , E. Laplace , F. Dosopoulou

We introduce \texttt{TEOBResumSP}: an efficient, accurate hybrid scheme for generating gravitational waveforms from spin-precessing compact binaries. The precessing waveforms are generated via the established technique of Euler rotating the…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Sarp Akcay , Rossella Gamba , Sebastiano Bernuzzi