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We complete the computation of the gravitational waveform amplitude for non-spinning compact binaries to the third and a half post-Newtonian (PN) order in the quasi-circular case. This is done by performing a spin-weighted spherical…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Quentin Henry

Using the post-Newtonian (PN) expansion technique of the gravitational wave perturbation around a Schwarzschild black hole, we calculate analytically the energy flux of gravitational waves induced by a particle in circular orbits up to the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 T. Tanaka , H. Tagoshi , M. Sasaki

Using the worldline quantum field theory formalism, we compute the conservative scattering angle and impulse for classical black hole scattering at fifth post-Minkowskian (5PM) order by providing the second self-force (2SF) contributions.…

High Energy Physics - Theory · Physics 2026-02-04 Mathias Driesse , Gustav Uhre Jakobsen , Gustav Mogull , Christoph Nega , Jan Plefka , Benjamin Sauer , Johann Usovitsch

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2015-06-03 Nguyen Suan Han , Le Hai Yen , Nguyen Nhu Xuan

We derive the tensor gravitational waveform generated by a binary of nonspinning compact objects (black holes or neutron stars) in a general class of scalar-tensor theories of gravity. The waveform is accurate to second post-Newtonian order…

General Relativity and Quantum Cosmology · Physics 2014-04-15 Ryan N. Lang

We peform a study of gravitational waves emitted by inspiraling black holes in the context of quadratic gravity. By linearizing the field equations around a flat background, we demonstrate that all degrees of freedom satisfy wave-like…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Matheus F. S. Alves , Luís F. M. A. M. Reis , L. G. Medeiros

We present a framework for systematic computations of scattering amplitudes for gravitational Raman scattering, -- the inelastic scattering of massless fields off compact relativistic objects. We focus on the small-frequency…

High Energy Physics - Theory · Physics 2026-02-09 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

KMOC (Kosower, Maybee, and O'Connell) formalism is an approach to analyze classical scattering in gauge theories and gravity using a class of ``inclusive'' observables which can be computed solely from on-shell amplitudes…

High Energy Physics - Theory · Physics 2026-03-20 Samim Akhtar , Alok Laddha , Arkajyoti Manna , Akavoor Manu

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

High Energy Physics - Theory · Physics 2026-05-19 Michael Saavedra

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

General Relativity and Quantum Cosmology · Physics 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

Based upon the formalism recently developed by one of us (MS), we analytically perform the post-Newtonian expansion of gravitational waves from a test particle in circular orbit of radius $r_0$ around a Schwarzschild black hole of mass $M$.…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Hideyuki Tagoshi , Misao Sasaki

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christopher Beetle , Benjamin Bromley , Napoleón Hernández , Richard H. Price

In this thesis we study the conservative gravitational dynamics of binary systems using the eikonal approximation; allowing us to use scattering amplitude techniques to calculate dynamical quantities in classical gravity. This has…

High Energy Physics - Theory · Physics 2020-09-24 Arnau Koemans Collado

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2008-05-02 Nguyen Suan Han , Nguyen Nhu Xuan

We study scattering on the black hole horizon in a partial wave basis, with an impact parameter of the order of the Schwarzschild radius or less. This resembles the strong gravity regime where quantum gravitational effects appear. The…

High Energy Physics - Theory · Physics 2022-01-11 Nava Gaddam , Nico Groenenboom , Gerard 't Hooft

The correspondence between gravitational observables derived from scattering processes and adiabatic invariants in bound orbits, within the framework of the Post-Minkowskian (PM) expansion, has garnered significant attention in the study of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Jiliang Jing

We present a framework to compute amplitudes for the gravitational analog of the Raman process, a quasi-elastic scattering of waves off compact objects, in worldline effective field theory (EFT). As an example, we calculate third…

High Energy Physics - Theory · Physics 2025-02-25 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

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

We compare numerical relativity (NR) data on the scattering of equal-mass, non-spinning binary black holes to various analytical predictions based on post-Minkowskian (PM) results. While the usual sequence of PM-expanded scattering angles…

General Relativity and Quantum Cosmology · Physics 2023-04-05 Thibault Damour , Piero Rettegno
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