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The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

广义相对论与量子宇宙学 · 物理学 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

We derive an expression for the second-order gravitational self-force that acts on a self-gravitating compact-object moving in a curved background spacetime. First we develop a new method of derivation and apply it to the derivation of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Eran Rosenthal

Compact binaries with unequal masses and whose orbits are not aligned with the observer's line of sight are excellent probes of gravitational radiation beyond the quadrupole approximation. Among the compact binaries observed so far, strong…

广义相对论与量子宇宙学 · 物理学 2024-10-10 Parthapratim Mahapatra

The linear-order effects of radiation-reaction on the classical scattering of two point masses, in General Relativity, are derived by a variation-of-constants method. Explicit expressions for the radiation-reaction contributions to the…

广义相对论与量子宇宙学 · 物理学 2021-11-30 Donato Bini , Thibault Damour , Andrea Geralico

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…

广义相对论与量子宇宙学 · 物理学 2014-04-15 Ryan N. Lang

We study the proposal by Mersini et al. that the observed dark energy might be explained by the back-reaction of the set of tail modes in a theory with a dispersion relation in which the mode frequency decays exponentially in the…

高能物理 - 理论 · 物理学 2018-11-20 L. L. Graef , R. Brandenberger

The inspiral phase of gravitational waves emitted by spinless compact binary systems is derived through the fourth-and-a-half post-Newtonian (4.5PN) order beyond quadrupole radiation, and the leading amplitude mode ($\ell$, m) = (2, 2) is…

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

This paper describes the different steps to include the adiabatic tidal effects to the gravitational waveform amplitude for quasi-circular non-spinning compact binaries up to the second-and-a-half post-Newtonian (PN) order. The amplitude,…

广义相对论与量子宇宙学 · 物理学 2025-04-18 Eve Dones , Quentin Henry , Laura Bernard

We compute the potential-graviton contributions to the conservative scattering angle of two non-spinning bodies in maximal supergravity at fifth order in Newton's constant, including second-order self-force effects. Our goal is to tackle…

高能物理 - 理论 · 物理学 2026-01-21 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Vladimir A. Smirnov , Mao Zeng

We consider a burst of quadrupole gravitational radiation in the presence of a large static mass $M$ situated at its source. Some of the radiation is back-scattered off the static field of the large mass, forming a wave tail. After the…

广义相对论与量子宇宙学 · 物理学 2009-10-30 W. B. Bonnor , M. S. Piper

The dynamics of compact binary systems at the fourth post-Newtonian (4PN) approximation of general relativity has been recently completed in a self-consistent way. In this paper, we compute the ten Poincar\'e constants of the motion and…

广义相对论与量子宇宙学 · 物理学 2018-03-20 Laura Bernard , Luc Blanchet , Guillaume Faye , Tanguy Marchand

Using the gravitational potential and source multipole moments bilinear in the spins, first computed to next-to-leading order (NLO) in the post-Newtonian (PN) expansion within the effective field theory (EFT) framework, we complete here the…

广义相对论与量子宇宙学 · 物理学 2021-07-21 Gihyuk Cho , Brian Pardo , Rafael A. Porto

Using the NRGR effective field theory formalism we calculate the remaining source multipole moments necessary to obtain the spin contributions to the gravitational wave amplitude to 2.5 Post-Newtonian (PN) order. We also reproduce the tail…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Rafael A. Porto , Andreas Ross , Ira Z. Rothstein

We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

广义相对论与量子宇宙学 · 物理学 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

The effective field theory of quantum gravity generically predicts non-locality to be present in the effective action, which results from the low-energy propagation of gravitons and massless matter. Working to second order in gravitational…

高能物理 - 理论 · 物理学 2018-10-17 Xavier Calmet , Basem Kamal El-Menoufi , Boris Latosh , Sonali Mohapatra

We calculate via the effective field theory (EFT) approach the next-to-next-to-leading order (NNLO) spin1-spin2 conservative potential for a binary. Hereby, we first demonstrate the ability of the EFT approach to go at NNLO in…

广义相对论与量子宇宙学 · 物理学 2014-06-26 Michele Levi

We extend the "boundary-to-bound" (B2B) correspondence to incorporate radiative as well as conservative radiation-reaction effects. We start by deriving a map between the total change in observables due to gravitational wave emission during…

高能物理 - 理论 · 物理学 2022-05-30 Gihyuk Cho , Gregor Kälin , Rafael A. Porto

We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in…

高能物理 - 理论 · 物理学 2021-01-04 Gregor Kälin , Zhengwen Liu , Rafael A. Porto

A particle of mass $\mu$ moves on a circular orbit of a nonrotating black hole of mass $M$. Under the restrictions $\mu/M \ll 1$ and $v \ll 1$, where $v$ is the orbital velocity, we consider the gravitational waves emitted by such a binary…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Eric Poisson , Misao Sasaki

We compute the complete potential-graviton contributions to the conservative radial action and scattering angle for two non-spinning bodies in general relativity, accurate through fifth order in Newton's constant and including second-order…

高能物理 - 理论 · 物理学 2026-02-10 Zvi Bern , Enrico Herrmann , Radu Roiban , Michael S. Ruf , Alexander V. Smirnov , Sid Smith , Mao Zeng