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The precise knowledge of the gravitational phase evolution of compact binaries is crucial to the data analysis for gravitational waves. Until recently, it was known analytically (for non-spinning systems) up to the 3.5 post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

We present the two-body Hamiltonian and associated eikonal phase, to leading post-Minkowskian order, for infinitely many tidal deformations described by operators with arbitrary powers of the curvature tensor. Scattering amplitudes in…

High Energy Physics - Theory · Physics 2023-01-11 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Eric Sawyer , Chia-Hsien Shen

The linear- and quadratic-in-spin contributions to the binding potential and gravitational-wave flux from binary systems are derived to next-to-next-to-leading order in the Post-Newtonian (PN) expansion of general relativity, including…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Gihyuk Cho , Rafael A. Porto , Zixin Yang

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

High Energy Physics - Theory · Physics 2020-11-11 Clifford Cheung , Mikhail P. Solon

We compute the tail contributions to the gravitational-wave mode amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order of general relativity. We combine them with the already available instantaneous pieces…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Yannick Boetzel , Chandra Kant Mishra , Guillaume Faye , Achamveedu Gopakumar , Bala R. Iyer

Hamiltonian formalisms provide powerful tools for the computation of approximate analytic solutions of the Einstein field equations. The post-Newtonian computations of the explicit analytic dynamics and motion of compact binaries are…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Gerhard Schäfer , Piotr Jaranowski

We perform simulations of relativistic binary stars in post-Newtonian gravity to investigate their dynamical stability prior to merger against gravitational collapse in a tidal field. In general, our equations are only strictly accurate to…

General Relativity and Quantum Cosmology · Physics 2009-12-30 M. Shibata , T. W. Baumgarte , S. L. Shapiro

Next-generation low-frequency interferometers are expected to detect binary systems near supermassive black holes, where tidal effects can alter significantly the motion of the binary. This motivates a broader investigation of how external…

General Relativity and Quantum Cosmology · Physics 2024-11-14 Elisa Grilli , Marta Orselli , David Pereñiguez , Daniele Pica

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 introduce a phenomenological, physically motivated, model for the effective tidal deformability of a neutron star, adding the frequency dependence (associated with the star's fundamental mode of oscillation) that comes into play during…

General Relativity and Quantum Cosmology · Physics 2021-02-09 N. Andersson , P. Pnigouras

In this work we complete the spin-dependent conservative dynamics of inspiralling compact binaries at the fourth post-Newtonian order, and in particular the derivation of the next-to-next-to-leading order spin-squared interaction potential.…

General Relativity and Quantum Cosmology · Physics 2021-09-23 Michèle Levi , Jan Steinhoff

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

We complete our previous derivation, at the sixth post-Newtonian (6PN) accuracy, of the local-in-time dynamics of a gravitationally interacting two-body system by giving two gauge-invariant characterizations of its complementary…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Donato Bini , Thibault Damour , Andrea Geralico

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

We investigate the dynamics of spinning binaries of compact objects at the next-to-leading order in the quadratic-in-spin effects, which corresponds to the third post-Newtonian order (3PN). Using a Dixon-type multipolar formalism for…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer

The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein-Cartan theory at the first post-Newtonian level by resorting to the…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Emmanuele Battista , Vittorio De Falco

For the analysis of gravitational-wave signals, fast and accurate gravitational-waveform models are required. These enable us to obtain information on the system properties from compact binary mergers. In this article, we introduce the…

General Relativity and Quantum Cosmology · Physics 2024-07-17 Adrian Abac , Tim Dietrich , Alessandra Buonanno , Jan Steinhoff , Maximiliano Ujevic

We implement the effective field theory for gravitating spinning objects in the post-Newtonian scheme at the next-to-next-to-leading order level to derive the gravitational spin-orbit interaction potential at the third and a half…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Michèle Levi , Jan Steinhoff

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