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Related papers: Gravitational spin Hamiltonians from the S matrix

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We propose a new, chiral description for massive higher-spin particles in four spacetime dimensions, which facilitates the introduction of consistent interactions. As proof of concept, we formulate three theories, in which higher-spin…

High Energy Physics - Theory · Physics 2022-12-14 Alexander Ochirov , Evgeny Skvortsov

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

High Energy Physics - Theory · Physics 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

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

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Luc Blanchet

Recent gravitational wave (GW) detections showing signatures of eccentricity and spin precession underscore the need to model binary black holes (BBHs) possessing these features simultaneously. Most efforts over the past fifteen years to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Tom Colin , Sashwat Tanay , Laura Bernard

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

General Relativity and Quantum Cosmology · Physics 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

We establish an equivalence between massive spinning particle models in four spacetime dimensions coupled to electromagnetism or gravity, within the spin-magnitude-preserving sector. Four representative models in the literature are shown to…

High Energy Physics - Theory · Physics 2026-04-28 Joon-Hwi Kim , Sangmin Lee

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

Recently, different methods succeeded in calculating the spin dynamics at higher orders in the post-Newtonian (PN) approximation. This is an essential step toward the determination of more accurate templates for gravitational waves, to be…

General Relativity and Quantum Cosmology · Physics 2010-02-17 J. Steinhoff , S. Hergt , G. Schäfer

We perform a statistical analysis of the binary black hole problem in the post-Newtonian approximation by systematically sampling and evolving the parameter space of initial configurations for quasi-circular inspirals. Through a principal…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Chad R. Galley , Frank Herrmann , John Silberholz , Manuel Tiglio , Gustavo Guerberoff

Using Effective Field Theory (EFT) methods, we compute the effects of horizon dissipation on the gravitational interactions of relativistic binary black hole systems. We assume that the dynamics is perturbative, i.e it admits an expansion…

High Energy Physics - Theory · Physics 2020-10-28 Walter D. Goldberger , Ira Z. Rothstein

We derived a post-Newtonian (PN) inspiral only gravitational waveform for unequal mass, spinning black hole binaries. Towards the end of the inspiral the larger spin dominates over the orbital angular momentum (while the smaller spin is…

General Relativity and Quantum Cosmology · Physics 2014-09-12 Márton Tápai , Zoltán Keresztes , László Árpád Gergely

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian…

High Energy Physics - Theory · Physics 2023-07-26 Gustav Uhre Jakobsen , Gustav Mogull

Using the NRGR effective field theory formalism we calculate the remaining source multipole moments necessary to obtain the spin contributions to the gravitational wave amplitude to 2.5 Post-Newtonian (PN) order. We also reproduce the tail…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Rafael A. Porto , Andreas Ross , Ira Z. Rothstein

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Luc Blanchet , Athanassios S. Fokas

Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first post-Newtonian order beyond the quadrupole approximation in the context of Einstein-Cartan theory,…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vittorio De Falco , Emmanuele Battista , Davide Usseglio , Salvatore Capozziello

Binary sources of gravitational waves in the early inspiral phase are accurately described by a post-Newtonian expansion in small velocity and weak interaction. We compute the conservative dynamics to fifth and partial sixth order using a…

General Relativity and Quantum Cosmology · Physics 2022-08-10 J. Blümlein , A. Maier , P. Marquard , G. Schäfer

We construct an approximate metric that represents the spacetime of spinning binary black holes (BBH) approaching merger. We build the metric as an analytical superposition of two Kerr metrics in harmonic coordinates, where we transform…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Luciano Combi , Federico G. Lopez Armengol , Manuela Campanelli , Brennan Ireland , Scott C. Noble , Hiroyuki Nakano , Dennis Bowen

We compute the most general leading-order correction to Kerr solution when the Einstein-Hilbert action is supplemented with higher-derivative terms, including the possibility of dynamical couplings controlled by scalars. The model we…

General Relativity and Quantum Cosmology · Physics 2020-03-06 Pablo A. Cano , Alejandro Ruipérez

We investigate a quantum nonrelativistic system describing the interaction of two particles with spin 1/2 and spin 0, respectively. We assume that the Hamiltonian is rotationally invariant and parity conserving and identify all such systems…

Mathematical Physics · Physics 2015-06-11 Jean-Francois Desilets , Pavel Winternitz , Ismet Yurdusen
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