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相关论文: Poincar\'e generators at second post-Minkowskian o…

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The gravitational waveform (GWF) generated by inspiralling compact binaries moving in quasi-circular orbits is computed at the third post-Newtonian (3PN) approximation to general relativity. Our motivation is two-fold: (i) To provide…

广义相对论与量子宇宙学 · 物理学 2012-10-22 Luc Blanchet , Guillaume Faye , Bala R. Iyer , Siddhartha Sinha

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

We show that an anomaly-free description of matter in (1+1) dimensions requires a deformation of the 2d relativity principle, which introduces a non-trivial center in the 2d Poincare algebra. Then we work out the reduced phase-space of the…

高能物理 - 理论 · 物理学 2008-11-26 R. O. de Mello

Viewing gravitational energy-momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space…

数学物理 · 物理学 2011-03-03 C. Wiesendanger

Building upon the Noether charge formalism of Iyer and Wald, we derive a variational formula for spacetimes admitting a Killing vector field, for a generic energy-momentum distribution with compact support. Applying this general result to…

广义相对论与量子宇宙学 · 物理学 2022-09-07 Paul Ramond , Alexandre Le Tiec

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

广义相对论与量子宇宙学 · 物理学 2025-07-31 David Trestini

We obtain a first order post-Minkowskian two-body effective potential whose post-Newtonian expansion directly reproduces the Einstein-Infeld-Hoffmann potential. Post-Minkowskian potentials can be extracted from on-shell scattering…

高能物理 - 理论 · 物理学 2021-02-03 Gianluca Grignani , Troels Harmark , Marta Orselli , Andrea Placidi

In relativistic quantum mechanics, elementary particles are described by irreducible unitary representations of the Poincare group. The same applies to the center-of-mass kinematics of a multi-particle system that is not subject to external…

综合物理 · 物理学 2013-03-22 Walter Smilga

We present an equation generator algorithm that utilizes second-quantized operators in normal order with respect to a correlated or non-correlated reference and the corresponding Wick theorem. The algorithm proposed here, written with…

化学物理 · 物理学 2023-08-31 Raúl Quintero-Monsebaiz , Pierre-François Loos

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

We introduce a family of relativistic non-rigid non-inertial frames as a gauge fixing of the description of N positive energy particles in the framework of parametrized Minkowski theories. Then we define a multi-temporal quantization scheme…

高能物理 - 理论 · 物理学 2009-11-11 David Alba , Luca Lusanna

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

We complete the post-Newtonian (PN) prediction at the 3.5PN order for the spin contributions to the gravitational waveforms emitted by inspiraling compact binaries, in the case of quasi-circular, equatorial orbits, where both spins are…

广义相对论与量子宇宙学 · 物理学 2022-12-21 Quentin Henry , Sylvain Marsat , Mohammed Khalil

Gravitational radiation can be decomposed as an infinite sum of radiative multipole moments, which parametrize the waveform at infinity. The multipolar-post-Minkowskian formalism provides a connection between these multipoles and the source…

广义相对论与量子宇宙学 · 物理学 2022-06-15 Donato Bini , Andrea Geralico

We consider the classical momentum- or velocity-dependent two-dimensional Hamiltonian given by $$\mathcal H_N = p_1^2 + p_2^2 +\sum_{n=1}^N \gamma_n(q_1 p_1 + q_2 p_2)^n ,$$ where $q_i$ and $p_i$ are generic canonical variables, $\gamma_n$…

数学物理 · 物理学 2023-01-06 Alfonso Blasco , Ivan Gutierrez-Sagredo , Francisco J. Herranz

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

This paper had no abstract originally. A second-order symplectic integration algorithm for guiding center motion is presented. The algorithm is based on the Poincar\'e (mid-point) generating function.

等离子体物理 · 物理学 2018-09-17 John R. Cary

Driven by advances in scattering amplitudes and worldline-based methods, recent years have seen significant progress in our ability to calculate gravitational two-body scattering observables. These observables effectively encapsulate the…

广义相对论与量子宇宙学 · 物理学 2024-11-21 Alessandra Buonanno , Gustav Mogull , Raj Patil , Lorenzo Pompili

Using the worldline quantum field theory approach we derive solutions to the equations of motion for spinning massive bodies up to quadratic order in spins. At leading post-Minkowskian (PM) order these trajectories are obtained in the time…

高能物理 - 理论 · 物理学 2026-02-27 Gustav Mogull , Jan Plefka , Kathrin Stoldt

We consider the motion of a point particle with spin in a stationary spacetime. We define, following Witzany (2019) and later Ramond (2022), a twelve dimensional Hamiltonian dynamical system whose orbits coincide with the solutions of the…

广义相对论与量子宇宙学 · 物理学 2023-06-21 Francisco M. Blanco , Éanna É. Flanagan