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The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

广义相对论与量子宇宙学 · 物理学 2010-03-03 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

The study of scattering encounters continues to provide new insights into the general relativistic two-body problem. The local-in-time conservative dynamics of an aligned-spin binary, for both unbound and bound orbits, is fully encoded in…

广义相对论与量子宇宙学 · 物理学 2021-01-04 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

The next-to-next-to-leading order spin-squared interaction potential for generic compact binaries is derived for the first time via the effective field theory for gravitating spinning objects in the post-Newtonian scheme. The spin-squared…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Michèle Levi , Jan Steinhoff

In this work the worldline quantum field theory (WQFT) approach to computing observables of the classical general relativistic two-body system is presented. Compact bodies such as black holes or neutron stars are described in an effective…

高能物理 - 理论 · 物理学 2023-08-09 Gustav Uhre Jakobsen

A Hamiltonian formulation is given for the gravitational dynamics of two spinning compact bodies to next-to-leading order ($G/c^4$ and $G^2/c^4$) in the spin-orbit interaction. We use a novel approach (valid to linear order in the spins),…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

We present the next-to-next-to-leading order post-Newtonian (PN) spin(1)-spin(2) Hamiltonian for two self-gravitating spinning compact objects. If both objects are rapidly rotating, then the corresponding interaction is comparable in…

广义相对论与量子宇宙学 · 物理学 2011-10-05 Johannes Hartung , Jan Steinhoff

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

广义相对论与量子宇宙学 · 物理学 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a…

高能物理 - 理论 · 物理学 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

We present the derivation of the third subleading order (N$^3$LO) spin-orbit interaction at the state of the art of post-Newtonian (PN) gravity via the EFT of spinning objects. The present sector contains the largest and most elaborate…

高能物理 - 理论 · 物理学 2023-05-24 Jung-Wook Kim , Michèle Levi , Zhewei Yin

A novel approach for extracting gauge-invariant information about spin-orbit coupling in gravitationally interacting binary systems is introduced. This approach is based on the "scattering holonomy", i.e. the integration (from the infinite…

广义相对论与量子宇宙学 · 物理学 2017-11-29 Donato Bini , Thibault Damour

Using the post-Newtonian effective field theory (PN-EFT) formalism for spinning gravitating bodies, we derive the next-to-leading-order (NLO) spin-orbit potential and Hamiltonian for a system of N spinning bodies in general relativity. This…

广义相对论与量子宇宙学 · 物理学 2026-05-15 Leonardo Wimmer , Hideyuki Tagoshi

The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Tomas Ledvinka , Gerhard Schaefer , Jiri Bicak

We implement the effective field theory for gravitating spinning objects in the post-Newtonian scheme at the next-to-next-to-leading order level to derive the gravitational spin-orbit interaction potential at the third and a half…

广义相对论与量子宇宙学 · 物理学 2020-04-22 Michèle Levi , Jan Steinhoff

We review and summarize our results concerning the influence of the spins of a compact binary system on the motion of the binary and on its gravitational reaction. We describe briefly our method which lead us to compute the secular changes…

广义相对论与量子宇宙学 · 物理学 2007-05-23 László Á. Gergely , Zoltán Perjés , Mátyás Vasúth

We obtain the total impulse in the scattering of non-spinning binaries in general relativity at fourth Post-Minkowskian order, i.e. ${\cal O}(G^4)$, including linear, nonlinear, and hereditary radiation-reaction effects. We derive the total…

高能物理 - 理论 · 物理学 2023-03-29 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Jakob Neef , Rafael A. Porto

We present the amplitude for classical scattering of gravitationally interacting massive scalars at third post-Minkowskian order. Our approach harnesses powerful tools from the modern amplitudes program such as generalized unitarity and the…

高能物理 - 理论 · 物理学 2019-05-29 Zvi Bern , Clifford Cheung , Radu Roiban , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We compute the rotations, during a scattering encounter, of the spins of two gravitationally interacting particles at second-order in the gravitational constant (second post-Minkowskian order). Following a strategy introduced in Phys. Rev.…

广义相对论与量子宇宙学 · 物理学 2018-08-29 Donato Bini , Thibault Damour

We derive spin-orbit coupling effects on the gravitational field and equations of motion of compact binaries in the 2.5 post-Newtonian approximation to general relativity, one PN order beyond where spin effects first appear. Our method is…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Hideyuki Tagoshi , Akira Ohashi , Benjamin J. Owen

Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

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