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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

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 introduce a formulation for spinning gravitating objects in the effective field theory in the post-Newtonian scheme in the context of the binary inspiral problem. We aim at an effective action, where all field modes below the orbital…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Michele Levi , Jan Steinhoff

The article presents the conservative dynamics of gravitationally interacting two-point-mass systems up to the eight order in the inverse power of the velocity of light, i.e.\ 4th post-Newtonian (4PN) order, and up to quadratic order in…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Piotr Jaranowski , Gerhard Schäfer

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

We present a formalism for constructing schematic diagrams to depict chaotic three-body interactions in Newtonian gravity. This is done by decomposing each interaction in to a series of discrete transformations in energy- and angular…

太阳与恒星天体物理 · 物理学 2018-02-07 Nathan W. C. Leigh , Shalma Wegsman

In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussion and then move on to two more technical sections. In the…

广义相对论与量子宇宙学 · 物理学 2023-10-13 Domenico Giulini , André Großardt , Philip K. Schwartz

This work is an application of the second order gauge theory for the Lorentz group, where a description of the gravitational interaction is obtained which includes derivatives of the curvature. We analyze the form of the second field…

广义相对论与量子宇宙学 · 物理学 2015-02-24 R. R. Cuzinatto , C. A. M. de Melo , L. G. Medeiros , P. J. Pompeia

We extend the analytical determination of the main radial potential describing (within the effective one-body formalism) the gravitational interaction of two bodies beyond the 4th post-Newtonian approximation recently obtained by us. This…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Donato Bini , Thibault Damour

A technique for translating the classical scattering function of two gravitationally interacting bodies into a corresponding (effective one-body) Hamiltonian description has been recently introduced [Phys.\ Rev.\ D {\bf 94}, 104015 (2016)].…

广义相对论与量子宇宙学 · 物理学 2018-03-07 Thibault Damour

This paper investigates the coupling of massive fermions to gravity within the context of a non-Abelian gauge theory, utilizing the effective field theory framework for quantum gravity. Specifically, we calculate the two-loop beta function…

高能物理 - 理论 · 物理学 2025-06-19 M. Gomes , A. C. Lehum , A. J. da Silva

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian,…

广义相对论与量子宇宙学 · 物理学 2019-12-11 Donato Bini , Thibault Damour , Andrea Geralico

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2022-09-26 Vegard Undheim

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

高能物理 - 理论 · 物理学 2015-06-23 Varun Vaidya

We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Luc Blanchet

The possibility that the strength of gravitational interactions might slowly increase with distance, is explored by formulating a set of effective field equations, which incorporate the gravitational, vacuum-polarization induced, running of…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Herbert W. Hamber , Ruth M. Williams

Due to the weakness of gravitational coupling, all quantum experiments up to date in which gravity plays a role utilized the field of the Earth. Since this field undergoes practically undetectable back-action from quantum particles, it…

量子物理 · 物理学 2024-05-16 Ankit Kumar

We describe a complete method for a precise study of gravitational interaction between two nearby quantum masses. Since the displacements of these masses are much smaller than the initial separation between their centers, the…

量子物理 · 物理学 2023-05-19 Ankit Kumar , Tanjung Krisnanda , P. Arumugam , Tomasz Paterek

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

A modified theory of general relativity is proposed, where the gravitational constant is replaced by a dynamical variable in space-time. The dynamics of the gravitational coupling is described by a family of parametrized null geodesics,…

广义相对论与量子宇宙学 · 物理学 2016-04-14 Felix Finster , Christian Röken