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Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

High Energy Physics - Theory · Physics 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

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

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

We present the analytic evaluation of the gravitational energy and of the angular momentum flux with tidal effects for inspiraling compact binaries, at next-to-next-to-leading post-Newtoian (2PN) order, within the effective field theory…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Manoj K. Mandal , Pierpaolo Mastrolia , Raj Patil , Jan Steinhoff

We ascertain the effectiveness of the second post-Newtonian approximation to the gravitational waves emitted during the adiabatic inspiral of a compact binary system as templates for signal searches with kilometer-scale interferometric…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Serge Droz , Eric Poisson

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

Dimensional regularization is applied to the computation of the gravitational wave field generated by compact binaries at the third post-Newtonian (3PN) approximation. We generalize the wave generation formalism from isolated post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2007-12-19 Luc Blanchet , Thibault Damour , Gilles Esposito-Farese , Bala R. Iyer

The equations of motion of compact binary systems have been derived in the post-Newtonian (PN) approximation of general relativity. The current level of accuracy is 3.5PN order. The conservative part of the equations of motion (neglecting…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Luc Blanchet

We obtain analytical gravitational waveforms in the frequency-domain for precessing, quasi-circular compact binaries with small spins, applicable, for example, to binary neutron star inspirals. We begin by calculating an analytic solution…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

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 present here a complete list of contributions to the gravitational wave frequency evolution from compact binaries on circular orbits up to the second post-Newtonian order by including the interaction of magnetic dipole moments,…

Astrophysics · Physics 2016-08-15 Balázs Mikóczi

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

We analyze galactic black hole mergers and their emitted gravitational waves. Such mergers have typically unequal masses with mass ratio of the order 1/10. The emitted gravitational waves carry the inprint of spins and mass quadrupoles of…

General Relativity and Quantum Cosmology · Physics 2009-11-18 László Á. Gergely , Peter L. Biermann , Balázs Mikóczi , Zoltán Keresztes

For black-hole binaries whose spins are (anti-) aligned with respect to the orbital angular momentum of the binary, we compute the frequency domain phasing coefficients including the quadratic-in-spin terms up to the third post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Chandra Kant Mishra , Aditya Kela , K. G. Arun , Guillaume Faye

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

We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

As a first step in the computation of the orbital phase evolution of spinless compact binaries including tidal effects up to the next-to-next-to-leading (NNL) order, we obtain the equations of motion of those systems and the associated…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Quentin Henry , Guillaume Faye , Luc Blanchet

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Manuel Tessmer , Gerhard Schaefer
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