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A generalization of Wilson line operators at subleading power in the soft expansion has been recently introduced as an efficient building block of gravitational scattering amplitudes for non-spinning objects. The classical limit in this…

High Energy Physics - Theory · Physics 2024-12-23 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We study the wave form emitted by a particle moving along an arbitrary (in general open) geodesic of the Schwarzschild geometry. The mathematical problem can be phrased in terms of quantities in ${\cal N}=2$ supersymmetric gauge theories…

High Energy Physics - Theory · Physics 2025-02-19 Francesco Fucito , Jose Francisco Morales , Rodolfo Russo

We compute the gravitational-wave (GW) energy flux up to the next-to-next-to-leading (NNL) order of tidal effects in a spinless compact binary system on quasi-circular orbits. Starting from an effective matter action, we obtain the…

General Relativity and Quantum Cosmology · Physics 2024-11-15 Quentin Henry , Guillaume Faye , Luc Blanchet

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Francesco Fucito , Jose Francisco Morales

In general relativity, gravitational memory describes the lasting change in the separation and relative velocity of freely falling detectors after the passage of gravitational waves (GWs). In this paper, we elucidate the relation between…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Valerio De Luca , Justin Khoury , Sam S. C. Wong

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

Gravitational waves cause freely falling spinning objects to precess, resulting in a net orientation change called gyroscopic memory. In this paper, we will consider isolated gravitational sources in the post-Newtonian framework and compute…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Guillaume Faye , Ali Seraj

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

General Relativity and Quantum Cosmology · Physics 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

Gravitational-wave memory refers to the permanent displacement of the test masses in an idealized (freely-falling) gravitational-wave interferometer. Inspiraling binaries produce a particularly interesting form of memory--the Christodoulou…

Astrophysics · Physics 2014-11-18 Marc Favata

The gravitational wave signal produced by the merger of two compact objects includes both an oscillatory transient and a non-oscillatory part, the so-called memory effect. This produces a permanent displacement of test masses and has not…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Jamie Bamber , Antonios Tsokaros , Milton Ruiz , Stuart L. Shapiro , Marc Favata , Matthew Karlson , Fabrizio Venturi Piñas

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

General relativity explains gravitational radiation from binary black hole or neutron star mergers, from core-collapse supernovae and even from the inflation period in cosmology. These waves exhibit a unique effect called memory or…

General Relativity and Quantum Cosmology · Physics 2015-05-21 Lydia Bieri , David Garfinkle , Shing-Tung Yau

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

High Energy Physics - Theory · Physics 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Using the recently established formalism of a worldline quantum field theory (WQFT) description of the classical scattering of two spinless black holes, we compute the far-field time-domain waveform of the gravitational waves produced in…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Gustav Uhre Jakobsen , Gustav Mogull , Jan Plefka , Jan Steinhoff

A quasi-Keplerian parameterisation for the solutions of second post-Newtonian (PN) accurate equations of motion for spinning compact binaries is obtained including leading order spin-spin and next-to-leading order spin-orbit interactions.…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Manuel Tessmer , Johannes Hartung , Gerhard Schaefer

A universal contribution exists in the infrared (low frequency) regime of all gravitational waves, which results from nonlinear memory. Nonlinear memory is sourced by linear order gravitational waves and exists for any gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Caner Ünal , Doğa Veske

The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is…

General Relativity and Quantum Cosmology · Physics 2019-11-12 J. Blümlein , A. Maier , P. Marquard , G. Schäfer , C. Schneider

We solve the wave equation for gravitational waves emitted by compact objects systems using the Multipolar Post-Minkowskian (MPM) method, and in the presence of Lorentz invariance violating terms. We select a Lorentz-violating extension of…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Samy Aoulad Lafkih , Marie-Christine Angonin , Christophe Le Poncin-Lafitte , Nils A. Nilsson

We compute the third post-Newtonian (3PN) accurate instantaneous contributions to the radiated gravitational wave (GW) energy and angular momentum arising from the hyperbolic passages of non-spinning compact objects. The present…

General Relativity and Quantum Cosmology · Physics 2022-04-21 Gihyuk Cho , Subhajit Dandapat , Achamveedu Gopakumar
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