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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…

广义相对论与量子宇宙学 · 物理学 2015-09-30 Alejandro Bohé , Guillaume Faye , Sylvain Marsat , Edward K Porter

When a test particle moves about an oblate spheroid, it is acted upon, among other things, by two standard perturbing accelerations. One, of Newtonian origin, is due to the quadrupole mass moment $J_2$ of the orbited body. The other one, of…

广义相对论与量子宇宙学 · 物理学 2023-12-13 Lorenzo Iorio

We consider a model of an electron in a crystal moving under the influence of an external electric field: Schr\"{o}dinger's equation with a potential which is the sum of a periodic function and a general smooth function. We identify two…

数学物理 · 物理学 2022-08-23 Alexander B. Watson , Jianfeng Lu , Michael I. Weinstein

In this study, gravitational waveforms emitted by inspiralling compact binary systems on quasicircular orbits in hybrid metric-Palatini gravity are computed in the lowest post-Newtonian approximation. By applying the stationary phase…

广义相对论与量子宇宙学 · 物理学 2025-07-28 P. I. Dyadina

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

广义相对论与量子宇宙学 · 物理学 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with…

广义相对论与量子宇宙学 · 物理学 2025-11-25 Marco de Cesare , Mairi Sakellariadou , Benjamin Sutton

We reexamine the production of gravitational waves by bubble collisions during a first-order phase transition. The spectrum of the gravitational radiation is determined by numerical simulations using the "envelope approximation". We find…

高能物理 - 唯象学 · 物理学 2009-03-20 Stephan J. Huber , Thomas Konstandin

We introduce a classical version of the loop corrected soft graviton theorem and we use it to compute the universal part of the one-loop (2PM) waveform up to sub-subleading order in the energy $\omega$ of the emitted graviton for spinless…

高能物理 - 理论 · 物理学 2024-03-04 Francesco Alessio , Paolo Di Vecchia

The periodic standing wave method studies circular orbits of compact objects coupled to helically symmetric standing wave gravitational fields. From this solution an approximation is extracted for the strong field, slowly inspiralling…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Christopher Beetle , Benjamin Bromley , Napoleón Hernández , Richard H. Price

Classical gravitational bremsstrahlung in particle collisions at transplanckian energies is studied in ${\mathcal M}_4\times {\mathcal T}^d$. The radiation efficiency $\epsilon\equiv E_{\rm rad}/E_{\rm initial}$ is computed in terms of the…

高能物理 - 唯象学 · 物理学 2010-12-17 Dmitri V. Gal'tsov , Georgios Kofinas , Pavel Spirin , Theodore N. Tomaras

We study the degeneracy of theoretical gravitational waveforms for binary black hole mergers using an aligned-spin effective-one-body model. After appropriate truncation, bandpassing, and matching, we identify regions in the mass--spin…

广义相对论与量子宇宙学 · 物理学 2018-03-21 James Creswell , Hao Liu , Andrew D. Jackson , Sebastian von Hausegger , Pavel Naselsky

A lot of fundamental tests of gravitational theories rely on highly precise measurements of the travel time and/or the frequency shift of electromagnetic signals propagating through the gravitational field of the Solar System. In…

广义相对论与量子宇宙学 · 物理学 2012-10-10 A. Hees , S. Bertone , C. Le Poncin-Lafitte

The distinction between the mean anomaly $\mathcal{M}(t)$ and the mean anomaly at epoch $\eta$, and the mean longitude $l(t)$ and the mean longitude at epoch $\epsilon$ is clarified in the context of a possible use of such orbital elements…

广义相对论与量子宇宙学 · 物理学 2019-10-07 Lorenzo Iorio

In this paper, we study the next-to-leading order corrections in the mass multipole expansion, i.e. the mass octupole and current quadrupole, to gravitational wave production by close hyperbolic encounters of compact objects. We find that…

广义相对论与量子宇宙学 · 物理学 2024-12-17 Alexander Roskill , Marienza Caldarola , Sachiko Kuroyanagi , Savvas Nesseris

A generalization of Wilson line operators at subleading power in the soft expansion has been recently introduced as an efficient building block of gravitational scattering amplitudes for non-spinning objects. The classical limit in this…

高能物理 - 理论 · 物理学 2024-12-23 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We present a formula for the universal anomalous scaling of the multipole moments of a generic gravitating source in classical general relativity. We derive this formula in two independent ways using effective field theory methods. First,…

高能物理 - 理论 · 物理学 2026-04-08 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

To enable detection and maximise the physics output of gravitational wave observations from compact binary systems, it is crucial the availability of accurate waveform models. The present work aims at giving an overview for non-experts of…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Soichiro Isoyama , Riccardo Sturani , Hiroyuki Nakano

I review the elementary theory of gravitational waves on a Minkowski background and the quadrupole approximation. The modified conservation laws for energy and momentum keeping track of the gravitational-wave flux are presented. The theory…

广义相对论与量子宇宙学 · 物理学 2019-02-12 J. W. van Holten

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Luc Blanchet

A novel approach to the Effective One-Body description of gravitationally interacting two-body systems is introduced. This approach is based on the post-Minkowskian approximation scheme (perturbation theory in G, without assuming small…

广义相对论与量子宇宙学 · 物理学 2016-11-15 Thibault Damour