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We compute the instantaneous contributions to the spherical harmonic modes of gravitational waveforms from compact binary systems in general orbits up to the third post-Newtonian order. We further extend these results for compact binaries…

广义相对论与量子宇宙学 · 物理学 2015-05-12 Chandra Kant Mishra , K. G. Arun , Bala R. Iyer

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Starting from clearly spelled-out assumptions, employing a framework of geometric background structures defining the…

广义相对论与量子宇宙学 · 物理学 2020-10-07 Philip K. Schwartz

An elementary prediction of the quantization of the gravitational field is that the Newtonian interaction can entangle pairs of massive objects. Conversely, in models of gravity in which the field is not quantized, the gravitational…

量子物理 · 物理学 2026-05-15 Giuseppe Fabiano , Tomohiro Fujita , Akira Matsumura , Daniel Carney

The partition function of 3-dimensional quantum gravity has been argued to be 1-loop exact. Here, we verify the vanishing of higher-orders in perturbation theory by explicit computation in the second-order, metric formulation at 3-loops.…

高能物理 - 理论 · 物理学 2023-11-07 Mauricio Leston , Andrés Goya , Guillem Pérez-Nadal , Mario Passaglia , Gaston Giribet

We compute the gravitational radiation-reaction force on a compact binary source at the fourth-and-a-half post-Newtonian (4.5PN) order of general relativity, i.e., 2PN order beyond the leading 2.5PN radiation reaction. The calculation is…

广义相对论与量子宇宙学 · 物理学 2025-07-31 Luc Blanchet , Guillaume Faye , David Trestini

This paper explores the idea that within the framework of three-dimensional quantum gravity one can extend the notion of Feynman diagram to include the coupling of the particles in the diagram with quantum gravity. The paper concentrates on…

广义相对论与量子宇宙学 · 物理学 2016-12-21 John W. Barrett

The ``in-in'' formalism is reviewed and extended, and applied to the calculation of higher-order Gaussian and non-Gaussian correlations in cosmology. Previous calculations of these correlations amounted to the evaluation of tree graphs in…

高能物理 - 理论 · 物理学 2008-11-26 Steven Weinberg

In ergodic quantum systems, physical observables have a non-relaxing component if they "overlap" with a conserved quantity. In interacting microscopic models, how to isolate the non-relaxing component is unclear. We compute exact dynamical…

统计力学 · 物理学 2019-11-13 Matteo Bellitti , Siddhardh Morampudi , Chris R. Laumann

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

广义相对论与量子宇宙学 · 物理学 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

Using post-Newtonian equations of motion for fluid bodies valid to the second post-Newtonian order, we derive the equations of motion for binary systems with finite-sized, non-spinning but arbitrarily shaped bodies. In particular we study…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas Mitchell , Clifford M. Will

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Thierry Mora , Clifford M. Will

Recent work has shown that it may be possible to detect gravitationally induced entanglement in tabletop experiments in the not-too-distant future. However, there are at present no thoroughly developed models for this type of experiment…

量子物理 · 物理学 2024-02-21 Jackson Yant , Miles Blencowe

The non-local one-loop contribution to the gravitational effective action around de Sitter space is computed using the background field method with pure trace external gravitational fields and it is shown to vanish. The calculation is…

高能物理 - 理论 · 物理学 2009-10-28 I. Antoniadis , J. Iliopoulos , T. N. Tomaras

We outline the program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multi-graviton two-body on-shell scattering amplitudes between…

高能物理 - 理论 · 物理学 2018-10-31 N. E. J. Bjerrum-Bohr , Poul H. Damgaard , Guido Festuccia , Ludovic Planté , Pierre Vanhove

The post-Newtonian approximation is a method for solving Einstein's field equations for physical systems in which motions are slow compared to the speed of light and where gravitational fields are weak. Yet it has proven to be remarkably…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Clifford M. Will

We study the secular, hierarchical three-body problem to first-order in a post-Newtonian expansion of General Relativity. We expand the first-order post-Newtonian Hamiltonian to leading-order in the ratio of the semi-major axis of the two…

太阳与恒星天体物理 · 物理学 2015-06-05 Smadar Naoz , Bence Kocsis , Abraham Loeb , Nicolas Yunes

The orbital dynamics of a test particle moving in the non-spherically symmetric field of a rotating oblate primary is impacted also by certain indirect, mixed effects arising from the interplay of the different Newtonian and post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2017-10-06 Lorenzo Iorio

Starting from the recently obtained 2PN accurate forms of the energy and angular momentum fluxes from inspiralling compact binaries, we deduce the gravitational radiation reaction to 2PN order beyond the quadrupole approximation - 4.5PN…

广义相对论与量子宇宙学 · 物理学 2014-11-17 A. Gopakumar , Bala R. Iyer , Sai Iyer

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