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We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

We use effective field theory techniques to compute the potentials due to spin-spin and spin-orbit effects, from which the spin(1)spin(2) contribution to the motion of spinning compact binaries to third Post-Newtonian (PN) order follow. We…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Rafael A. Porto , Ira Z. Rothstein

The quest for gravitational waves from coalescing binaries is customarily performed by the LIGO-Virgo collaboration via matched filtering, which requires a detailed knowledge of the signal. Complete analytical coalescence waveforms are…

General Relativity and Quantum Cosmology · Physics 2010-11-04 R. Sturani , S. Fischetti , L. Cadonati , G. M. Guidi , J. Healy , D. Shoemaker , A. Viceré

Extreme-mass-ratio inspirals (EMRIs) are among the most promising sources for future space-based gravitational-wave (GW) detectors, such as LISA. To fully leverage the scientific potential, the GW templates required for parameter estimation…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Viktor Skoupý

Starting with on-shell amplitudes compatible with the scattering of Kerr black holes, we produce the gravitational waveform and memory effect including spin at their leading post-Minkowskian orders to all orders in the spins of both…

High Energy Physics - Theory · Physics 2023-11-01 Rafael Aoude , Kays Haddad , Carlo Heissenberg , Andreas Helset

GW200105 is the first gravitational wave detection to show signs of eccentricity, it also is a neutron star - blackhole binary. This raises the need for waveforms that incorporate tidal effects on quasi-elliptic orbits. We tackle the…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Quentin Henry , Anna Heffernan

We compute the accuracy at which a LISA-like space-based gravitational wave detector will be able to observe deviations from General Relativity in the low frequency approximation. To do so, we introduce six correction parameters that…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Cédric Huwyler , Antoine Klein , Philippe Jetzer

We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Donato Bini , Andrea Geralico

Gravitational observables for binary systems exhibit a simple polynomial dependence on the masses $m_1$, $m_2$ of the two scattering objects when they are written in terms of the appropriate kinematic variables in the post-Minkowskian (PM)…

High Energy Physics - Theory · Physics 2025-11-19 Carlo Heissenberg , Rodolfo Russo

We here present the first analytic effective fly-by (EFB) waveforms designed to accurately capture the burst of gravitational radiation from the closest approach of highly eccentric compact binaries. The waveforms are constructed by…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Nicholas Loutrel

Motivated by gravitational wave observations of binary black hole mergers, we present a procedure to compute the leading order nonlinear gravitational wave interactions around a Kerr black hole. We describe the formalism used to derive the…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Nicholas Loutrel , Justin L. Ripley , Elena Giorgi , Frans Pretorius

In this paper we discuss the anatomy of frequency-domain gravitational-wave signals from non-precessing black-hole coalescences with the goal of constructing accurate phenomenological waveform models. We first present new…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Sascha Husa , Sebastian Khan , Mark Hannam , Michael Pürrer , Frank Ohme , Xisco Jiménez Forteza , Alejandro Bohé

Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st…

High Energy Physics - Theory · Physics 2020-12-22 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim , Sangmin Lee

The first- and second-order dissipative self force and the first order conservative self force are applied together with spin-orbit coupling to the quasi-circular motion of a test mass in the spacetime of a Schwarzschild black hole, for…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Lior M. Burko , Gaurav Khanna

We introduce a machine learning model designed to rapidly and accurately predict the time domain gravitational wave emission of non-precessing binary black hole coalescences, incorporating the effects of higher order modes of the multipole…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Tim Grimbergen , Stefano Schmidt , Chinmay Kalaghatgi , Chris van den Broeck

We compute the non-linear memory contributions to the gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian (3PN) order in general relativity. These contributions are hereditary in nature as they…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Michael Ebersold , Yannick Boetzel , Guillaume Faye , Chandra K. Mishra , Bala R. Iyer , Philippe Jetzer

With recent advances in post-Newtonian (PN) theory and numerical relativity (NR) it has become possible to construct inspiral-merger-ringdown waveforms by combining both descriptions into one hybrid signal. While addressing the reliability…

General Relativity and Quantum Cosmology · Physics 2011-09-30 Frank Ohme , Mark Hannam , Sascha Husa

Compact binary sources that emit gravitational waves (GW) are expected to be both spinning and on eccentric orbits. No closed-form expression for the phasing of GWs are available to date that contain information from both spin and…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Omkar Sridhar , Soham Bhattacharyya , Kaushik Paul , Chandra Kant Mishra

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

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