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We report the local-in-time conservative dynamics of nonspinning binary systems at fifth Post-Minkowskian (5PM) and first self-force (1SF) orders. This follows from an explicit calculation of the 5PM/1SF nonlocal-in-time tail-type…

高能物理 - 理论 · 物理学 2025-06-26 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

In numerical computations of Einstein's equations for black hole spacetimes, it will be necessary to use approximate boundary conditions at a finite distance from the holes. We point out here that ``tails,'' the inverse power-law decrease…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Elspeth W. Allen , Elizabeth Buckmiller , Lior M. Burko , Richard H. Price

Using the Schwinger-Keldysh "in-in" effective field theory (EFT) framework, we complete the knowledge of nonlinear gravitational radiation-reaction effects in the (relative) dynamics of binary systems at fifth Post-Newtonian (5PN) order.…

广义相对论与量子宇宙学 · 物理学 2025-02-26 Rafael A. Porto , Massimiliano M. Riva , Zixin Yang

We compute tail contributions to the conservative dynamics of a generic self-gravitating system, for every multipole order, of either electric and magnetic parity. Such contributions arise when gravitational radiation is backscattered by…

广义相对论与量子宇宙学 · 物理学 2022-01-12 Gabriel Luz Almeida , Stefano Foffa , Riccardo 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…

高能物理 - 理论 · 物理学 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

In the description of the relativistic two-body interaction, together with the effects of energy and angular momentum losses due to the emission of gravitational radiation, one has to take into account also the loss of linear momentum,…

广义相对论与量子宇宙学 · 物理学 2022-05-04 Donato Bini , Andrea Geralico

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…

广义相对论与量子宇宙学 · 物理学 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

广义相对论与量子宇宙学 · 物理学 2021-03-10 Hebertt Leandro , Riccardo Sturani

We establish a new relation between classical observables for scattering and bound orbits of a massive probe particle in a Kerr background. We find an exact representation of the Hamilton-Jacobi action in terms of the conserved charges…

高能物理 - 理论 · 物理学 2023-11-02 Riccardo Gonzo , Canxin Shi

We obtain L2-series solutions of the nonrelativistic three-dimensional wave equation for a large class of non-central potentials that includes, as special cases, the Aharonov-Bohm, Hartmann, and magnetic monopole potentials. It also…

量子物理 · 物理学 2009-11-10 A. D. Alhaidari

We compute the gravitational fluxes and waveform for eccentric compact binaries including matter effects through adiabatic tidal interactions within the post-Newtonian approximation. The computations are performed at the relative 2.5PN…

广义相对论与量子宇宙学 · 物理学 2026-02-16 Quentin Henry

We compute the effect of scattering gravitational radiation off the static background curvature, up to second order in Newton constant, known in literature as tail and tail-of-tail processes, for generic electric and magnetic multipoles.…

广义相对论与量子宇宙学 · 物理学 2025-05-26 Gabriel Luz Almeida , Stefano Foffa , Riccardo Sturani

It is demonstrated that, in the adiabatic approximation, non-Equatorial circular orbits of particles in the Kerr metric (i.e. orbits of constant Boyer-Lindquist radius) remain circular under the influence of gravitational radiation…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Daniel Kennefick , Amos Ori

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…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luc Blanchet

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

广义相对论与量子宇宙学 · 物理学 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

广义相对论与量子宇宙学 · 物理学 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

The general relativistic corrections in the equations of motion and associated energy of a binary system of point-like masses are derived at the third post-Newtonian (3PN) order. The derivation is based on a post-Newtonian expansion of the…

广义相对论与量子宇宙学 · 物理学 2009-12-31 Luc Blanchet , Guillaume Faye

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…

高能物理 - 理论 · 物理学 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We study, analytically as well as numerically, the dynamics that arises from the interaction of a polar polarizable rigid rotor with single unipolar electromagnetic pulses of varying length, $\Delta \tau$, with respect to the rotational…

量子物理 · 物理学 2018-11-14 Marjan Mirahmadi , Burkhard Schmidt , Mallikarjun Karra , Bretislav Friedrich