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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

We use effective field theory tools to study non-conservative effects in systems of gravitating objects in general spacetime dimension. Using the classical version of the Closed Time Path formalism, we treat both the radiative gravitational…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Ofek Birnholtz , Shahar Hadar

Leveraging scattering information to describe binary systems in generic orbits requires identifying local- and nonlocal-in-time tail effects. We report here the derivation of the universal (non-spinning) local-in-time conservative dynamics…

高能物理 - 理论 · 物理学 2024-05-07 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

In this paper we study the focusing cubic wave equation in 1+5 dimensions with radial initial data as well as the one-equivariant wave maps equation in 1+3 dimensions with the model target manifolds $\mathbb{S}^3$ and $\mathbb{H}^3$. In…

偏微分方程分析 · 数学 2015-10-28 Benjamin Dodson , Andrew Lawrie

Propagation of light in the gravitational field of self-gravitating spinning bodies moving with arbitrary velocities is discussed. The gravitational field is assumed to be "weak" everywhere. Equations of motion of a light ray are solved in…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Sergei Kopeikin , Bahram Mashhoon

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

广义相对论与量子宇宙学 · 物理学 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

Recently, it has been shown that the radiation arising from quantum fields placed in a gravitational background (e.g. Hawking radiation) can be derived using a quasi-classical calculation. Here we show that this method has a previously…

高能物理 - 理论 · 物理学 2008-11-26 Valeria Akhmedova , Terry Pilling , Andrea de Gill , Douglas Singleton

It has been shown in [Yang-Yu 2019] that general large solutions to the Cauchy problem for the Maxwell-Klein-Gordon system (MKG) in the Minkowski space $\mathbb{R}^{1+3}$ decay like linear solutions. One hence can define the associated…

偏微分方程分析 · 数学 2025-04-03 Wei Dai , He Mei , Dongyi Wei , Shiwu Yang

We present a general framework for calculating post-Minskowskian, classical, conservative Hamiltonians for $N$ non-spinning bodies in general relativity from relativistic scattering amplitudes. Novel features for $N>2$ are described…

高能物理 - 理论 · 物理学 2023-03-01 Callum R. T. Jones , Mikhail Solon

We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

广义相对论与量子宇宙学 · 物理学 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

The effects of classical gravitational radiation in models with large extra dimensions are investigated for ultra high energy cosmic rays (CRs). The cross sections are implemented into a simulation package (SENECA) for high energy hadron…

天体物理学 · 物理学 2008-11-26 Ben Koch , Hans-Joachim Drescher , Marcus Bleicher

First and second order corrections for the scattering of different types of particles by a weak gravitational field, treated as an external field, are calculated. These computations indicate a violation of the Equivalence Principle: to…

广义相对论与量子宇宙学 · 物理学 2008-01-15 Ricardo Paszko

The gravitational radiation backreaction effects are considered in the Lense-Thirring approximation. New methods for parameterizing the orbit and for averaging the instantaneous radiative losses are developed. To first order in the spin S…

广义相对论与量子宇宙学 · 物理学 2009-10-30 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

We point out that the odd-in-velocity contribution to the $\mathcal{O}(G^4)$ radiated angular momentum for two-body scattering is determined by the radiation-reaction (RR) term in the one-loop waveform. This RR term is actually proportional…

高能物理 - 理论 · 物理学 2025-07-01 Carlo Heissenberg

We compute the radiation reaction force on the orbital motion of compact binaries to the 3.5 post-Newtonian (3.5PN) approximation, i.e. one PN order beyond the dominant effect. The method is based on a direct PN iteration of the near-zone…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Samaya Nissanke , Luc Blanchet

The transition-matrix ($T$-matrix) approach provides a general formalism to study scattering problems in various areas of physics, including acoustics (scalar fields) and electromagnetics (vector fields), and is related to the theory of the…

光学 · 物理学 2016-02-08 Eric C. Le Ru , Walter R. C. Somerville , Baptiste Auguié

This manuscript proves the energy scattering of global solutions to a repulsive fourth-order generalized Hartree equation with non-radial data in the inter-critical regime. This work uses a new approach due to Dodson-Murphy [4] and extends…

偏微分方程分析 · 数学 2021-09-20 Tarek Saanouni , Hanene Hezzi

The scattering cross section for a long-wavelength planar gravitational wave impinging upon a rotating black hole is calculated, for the special case in which the direction of incidence is aligned with the rotation axis. We show that black…

广义相对论与量子宇宙学 · 物理学 2008-11-14 Sam R. Dolan

Starting from the leading soft term of the 5-point amplitude, involving a graviton and two Kerr black holes, that factorises into the product of the elastic amplitude without the graviton and the leading soft factor, we compute the infrared…

高能物理 - 理论 · 物理学 2022-08-10 Francesco Alessio , Paolo Di Vecchia

In this work, we derive the conservative dynamics of non-spinning binaries in the massless scalar-tensor theories using the post-Minkowskian Effective Field Theory (EFT) approach. Our main result is an analytic expression of the scattering…

高能物理 - 理论 · 物理学 2026-01-27 Laura Bernard , Tamanna Jain , Stavros Mougiakakos