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We present an alternative method for constructing the exact and approximate solutions of electromagnetic wave equations whose source terms are arbitrary order multipoles on a curved spacetime. The developed method is based on the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Mankin , T. Laas , R. Tammelo

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Luc Blanchet

Gravitational waves emitted by coalescing binary systems containing neutron stars (or other compact objects) carry signatures of the stars' internal equation of state, notably, through the influence of tidal deformations during the binary's…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Batoul Banihashemi , Justin Vines

We re-analyze the far zone contribution to the two-body conservative dynamics arising from interaction between radiative and longitudinal modes, the latter sourced by mass and angular momentum, which in the mass case is known as tail…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Gabriel Luz Almeida , Alan Müller , Stefano Foffa , Riccardo Sturani

We review our recent derivation of a Fokker action describing the conservative dynamics of a compact binary system at the fourth post-Newtonian (4PN) approximation of general relativity. The two bodies are modeled by point particles, which…

General Relativity and Quantum Cosmology · Physics 2017-07-18 Laura Bernard , Luc Blanchet , Alejandro Bohé , Guillaume Faye , Sylvain Marsat

The imprint of non-linearities in the propagation of gravitational waves --- the tail effect --- is responsible for new spin contributions to the energy flux and orbital phasing of spinning black hole binaries. The spin-orbit (linear in…

General Relativity and Quantum Cosmology · Physics 2013-12-24 Sylvain Marsat , Alejandro Bohe , Luc Blanchet , Alessandra Buonanno

We present the conservative dynamics of compact binaries to third order in the post-Minkowskian approximation in a theory that extends general relativity by a massless scalar field coupled to the Gauss-Bonnet invariant. We employ the…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Gabriel Luz Almeida , Yuchen Du , Zhengwen Liu , Hongbin Wang

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the…

General Relativity and Quantum Cosmology · Physics 2021-12-15 Mohammed Khalil

Tidal dissipation in spinning compact binaries imprints characteristic corrections on the late-inspiral gravitational-wave signal. We develop a next-to-leading order post-Newtonian description of dissipative, electric-quadrupolar tides in…

General Relativity and Quantum Cosmology · Physics 2026-04-27 Anand Balivada , Abhishek Hegade K. R. , Nicolás Yunes

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

High Energy Physics - Theory · Physics 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

Motivated by the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we analyze and contrast different constructions of the metric outside an isolated system, using post-Minkowskian…

General Relativity and Quantum Cosmology · Physics 2023-05-23 David Trestini , François Larrouturou , Luc Blanchet

Electromagnetic and linear gravitational radiation do not solely propagate on the null cone in 3+1 dimensions in curved spacetimes, contrary to their well-known behavior in flat spacetime. Their additional propagation inside the null cone…

General Relativity and Quantum Cosmology · Physics 2020-05-20 Yi-Zen Chu , Klaountia Pasmatsiou , Glenn D. Starkman

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 the first law of binary point-particle mechanics for generic bound (i.e. eccentric) orbits at the fourth post-Newtonian (4PN) order, accounting for the non-locality in time of the dynamics due to the occurence of a…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Luc Blanchet , Alexandre Le Tiec

This paper derives the total power or energy loss rate generated in the form of gravitational waves by an inspiralling compact binary system to the five halves post-Newtonian (2.5PN) approximation of general relativity. Extending a recently…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet

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

Using the Effective Field Theory approach together with the Boundary-to-Bound map, we compute the next-to-leading order (NLO) Post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and…

High Energy Physics - Theory · Physics 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

Gravitational wave astronomy plays a pivotal role in testing the dynamics of gravity in strong-field regimes and probing the nature of black holes. Motivated by recent studies on late-time tails in gravitational waves, we examine the…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Rong-Zhen Guo , Qing-Guo Huang

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman