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Related papers: Tail contributions to gravitational conservative d…

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Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source. The non-linear memory effect arises from gravitational waves sourced by the stress-energy…

General Relativity and Quantum Cosmology · Physics 2024-02-16 David Trestini , Luc Blanchet

Amazingly, recent studies indicate that nonlinear effects are of great significance for modelling black hole ringdown. Transient electromagnetic events in the astrophysical environment are typically high energetic, potentially responsible…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Zhen-Tao He , Jia Du , Jiageng Jiao , Caiying Shao , Junxi Shi , Yu Tian , Hongbao Zhang

We show that the correction to the gravitational binding energy for binary black holes due to the tail effect resembles the Lamb shift in the Hydrogen atom. In both cases a 'conservative' effect arises from interactions with 'radiation'…

General Relativity and Quantum Cosmology · Physics 2017-08-09 Rafael A. Porto

We study tidal effects induced by a particle moving along a slightly eccentric equatorial orbits in a Schwarzschild spacetime within the gravitational self-force framework. We compute the first order (conservative) corrections in the…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Donato Bini , Andrea Geralico

Neutron star binaries and their associated gravitational wave signal facilitate precision tests of General Relativity. Any deviation of the detected gravitational waveform from General Relativity would therefore be a smoking gun signature…

General Relativity and Quantum Cosmology · Physics 2024-12-16 Robin Fynn Diedrichs , Daniel Schmitt , Laura Sagunski

Recent numerical and analytic computations based on the self-force (SF) formalism in general relativity showed that half-integral post-Newtonian (PN) terms, i.e. terms involving odd powers of 1/c, arise in the redshift factor of small…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

In the case of nonspinning compact binary systems on quasi-elliptic orbits, I obtain the conservative map between the constants of motion (energy and angular momentum) and the fundamental (radial and azimuthal) frequencies at the fourth…

General Relativity and Quantum Cosmology · Physics 2026-04-28 David Trestini

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 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 investigate the late-time tail of the retarded Green function for the dynamics of a linear field perturbation of Kerr spacetime. We develop an analytical formalism for obtaining the late-time tail up to arbitrary order for general…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Marc Casals , Chris Kavanagh , Adrian C. Ottewill

It is well known that the late-time behaviour of gravitational collapse is {\it dominated} by an inverse power-law decaying tail. We calculate {\it higher-order corrections} to this power-law behaviour in a spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

Within the post Newtonian framework the fully reduced Hamiltonian (i.e., with eliminated spin supplementary condition) for the next-to-leading order spin-squared dynamics of general compact binaries is presented. The Hamiltonian is…

General Relativity and Quantum Cosmology · Physics 2010-06-04 Steven Hergt , Jan Steinhoff , Gerhard Schaefer

We study the late-time relaxation of a perturbed Schwarzschild black hole, driven by a source term representing an infalling particle in generic orbits. We consider quasi-circular and eccentric binaries, dynamical captures and radial…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Marina De Amicis , Simone Albanesi , Gregorio Carullo

Accurate modeling of compact binaries is essential for gravitational-wave detection and parameter estimation, with spin being an important effect to include in waveform models. In this paper, we derive new post-Newtonian (PN) results for…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Yilber Fabian Bautista , Mohammed Khalil , Matteo Sergola , Chris Kavanagh , Justin Vines

We study the gravitational radiation reaction in compact binary systems composed of neutron stars with spin and huge magnetic dipole moments (magnetars). The magnetic dipole moments undergo a precessional motion about the respective spins.…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Mátyás Vasúth , Zoltán Keresztes , András Mihály , László Á. Gergely

The post-Newtonian approximation is still the most widely used approach to obtaining explicit solutions in general relativity, especially for the relativistic two-body problem with arbitrary mass ratio. Within many of its applications, it…

General Relativity and Quantum Cosmology · Physics 2014-09-09 Luc Blanchet , Guillaume Faye , Bernard F. Whiting

We study the conservative dynamics of spinless compact objects in a general effective theory of gravity which includes a metric and an arbitrary number of scalar fields, through $\mathcal{O}(G^{3})$. Departures from Einstein gravity, which…

High Energy Physics - Theory · Physics 2025-08-14 Jordan Wilson-Gerow

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and…

General Relativity and Quantum Cosmology · Physics 2015-03-19 S. Foffa , R. Sturani

We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

High Energy Physics - Theory · Physics 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto