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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…

广义相对论与量子宇宙学 · 物理学 2024-11-28 Yilber Fabian Bautista , Mohammed Khalil , Matteo Sergola , Chris Kavanagh , Justin Vines

General relativity has been very successful since its proposal more a century ago. However, various cosmological observations and theoretical consistency still motivate us to explore extended gravity theories. Horndeski gravity stands out…

广义相对论与量子宇宙学 · 物理学 2024-02-27 Wen-Hao Wu , Yong Tang

In the present paper, using the first-order approximation of the $n$-body Lagrangian (derived on the basis of the post-Newtonian gravitational theory of Einstein, Infeld, and Hoffman), we explicitly write down the equations of motion for…

地球与行星天体物理 · 物理学 2017-04-13 F. L. Dubeibe , F. D. Lora-Clavijo , Guillermo A. González

Gravitational wave observatories targeted for compact binary coalescence, such as LIGO and VIRGO, require various theoretical inputs for their efficient detection. One of such inputs are analytical description of binary dynamics at…

高能物理 - 理论 · 物理学 2020-07-27 Jung-Wook Kim

The Effective One-Body formalism of the gravitational two-body problem in general relativity is reconsidered in the light of recent scattering amplitude calculations. Based on the kinematic relationship between momenta and the effective…

高能物理 - 理论 · 物理学 2021-11-24 Poul H. Damgaard , Pierre Vanhove

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

广义相对论与量子宇宙学 · 物理学 2024-07-16 Luc Blanchet

Using effective field theory methods, we compute in detail the Lagrangian for the conservative dynamics of compact binary systems, for spinless constituents and in the gravitationally bound case, in massless scalar-tensor (ST) and…

广义相对论与量子宇宙学 · 物理学 2024-05-07 Gabriel Luz Almeida

This paper describes a fourth-order integration algorithm for the gravitational N-body problem based on discrete Lagrangian mechanics. When used with shared timesteps, the algorithm is momentum conserving and symplectic. We generalize the…

天体物理学 · 物理学 2010-11-11 Will M. Farr , Edmund Bertschinger

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)…

广义相对论与量子宇宙学 · 物理学 2024-01-23 L. Blanchet , G. Faye , Q. Henry , F. Larrouturou , D. Trestini

This paper is a part of a series devoted to the Euclidean-hyperboloidal foliation method introduced by the authors for investigating the global existence problem associated with nonlinear systems of coupled wave-Klein-Gordon equations with…

广义相对论与量子宇宙学 · 物理学 2024-05-08 Philippe G. LeFloch , Yue Ma

Since the main open problem of contemporary physics is to find a unified description of the four interactions, we present a possible scenario which, till now only at the classical level, is able to englobe experiments ranging from…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Luca Lusanna

Gravity, and the puzzle regarding its energy, can be understood from a gauge theory perspective. Gravity, i.e., dynamical spacetime geometry, can be considered as a local gauge theory of the symmetry group of Minkowski spacetime: the…

广义相对论与量子宇宙学 · 物理学 2018-01-30 Chiang-Mei Chen , James M. Nester

We study the dynamics of electrically charged black-hole binaries and their gravitational-wave emission during the inspiral phase. Within the post-Newtonian framework, we derive the conservative and dissipative dynamics up to second order…

高能物理 - 理论 · 物理学 2026-03-19 Andrea Placidi , Elisa Grilli , Marta Orselli , Matteo Pegorin , Nicola Bartolo , Pierpaolo Mastrolia

The paper presents the conservative dynamics of two-body point-mass systems up to the third post-Newtonian order ($1/c^6$). The two-body dynamics is given in terms of a higher order ADM Hamilton function which results from a third…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Piotr Jaranowski , Gerhard Schaefer

In Minkowski spacetime, we consider an isolated system made of two pointlike bodies interacting at a distance, in the nonradiative approximation. Our framework is the covariant and a priori Hamiltonian formalism of "predictive relativistic…

经典物理 · 物理学 2015-06-17 Philippe Droz-Vincent

To describe the ``slow'' motions of n interacting mass points, we give the most general 4-d non-instantaneous, non-particle symmetric Galilei-invariant variational principle. It involves two-body invariants constructed from particle…

天体物理学 · 物理学 2007-05-23 Harry Woodcock , Peter Havas

Motivated by the completion of the fourth post-Newtonian (4PN) gravitational-wave generation from compact binary systems, we analyze and contrast different constructions of the metric outside an isolated system, using post-Minkowskian…

广义相对论与量子宇宙学 · 物理学 2023-05-23 David Trestini , François Larrouturou , Luc Blanchet

We consider $\Lambda$=0 three dimensional gravity with asymptotically flat boundary conditions. This system was studied by Ashtekar and Varadarajan within the second order formalism -with metric variables- who showed that the…

广义相对论与量子宇宙学 · 物理学 2015-08-26 Alejandro Corichi , Irais Rubalcava-Garcia

Accurate waveform models are crucial for gravitational-wave data analysis, and since spin has a significant effect on the binary dynamics, it is important to improve the spin description in these models. In this paper, we derive the…

广义相对论与量子宇宙学 · 物理学 2021-12-15 Mohammed Khalil

As recent work continues to demonstrate, the study of relativistic scattering processes leads to valuable insights and computational tools applicable to the relativistic bound-orbit two-body problem. This is particularly relevant in the…

广义相对论与量子宇宙学 · 物理学 2021-09-14 M. V. S. Saketh , Justin Vines , Jan Steinhoff , Alessandra Buonanno