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Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luc Blanchet

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

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Clifford M. Will , Alan G. Wiseman

We investigate the resonance quadrupole-quadrupole interaction between two entangled gravitationally polarizable objects induced by a bath of fluctuating quantum gravitational fields in vacuum in the framework of linearized quantum gravity.…

广义相对论与量子宇宙学 · 物理学 2020-09-08 Yongshun Hu , Jiawei Hu , Hongwei Yu , Puxun Wu

Corrections to the relativistic orbits are studied considering higher order approximations induced by gravitomagnetic effects. We discuss in details how such corrections come out taking into account magnetic components in the weak field…

广义相对论与量子宇宙学 · 物理学 2009-03-12 S. Capozziello , M. De Laurentis , F. Garufi , L. Milano

Using a rigorous method of matched asymptotic expansions, I derive the equation of motion of a small, compact body in an external vacuum spacetime through second order in the body's mass (neglecting effects of internal structure). The…

广义相对论与量子宇宙学 · 物理学 2012-09-05 Adam Pound

This work is based on the letter Phys. Lett. B, 865, 139484 (2025), where we developed the analytical expression of the coordinate time in terms of the eccentric anomaly at the second post-Newtonian order in General Relativity for a compact…

广义相对论与量子宇宙学 · 物理学 2026-01-14 Vittorio De Falco , Marco Gallo

Newton's gravitational constant G, which determines the strength of gravitational interactions both in Newton's theory and in Einstein's General Relativity, is the least well known of all the fundamental constants. Given its importance, and…

广义相对论与量子宇宙学 · 物理学 2014-05-23 John Swain

The equations of motion of compact binary systems have been derived in the post-Newtonian (PN) approximation of general relativity. The current level of accuracy is 3.5PN order. The conservative part of the equations of motion (neglecting…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Luc Blanchet

We compute the tail contributions to the gravitational-wave mode amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order of general relativity. We combine them with the already available instantaneous pieces…

广义相对论与量子宇宙学 · 物理学 2019-09-24 Yannick Boetzel , Chandra Kant Mishra , Guillaume Faye , Achamveedu Gopakumar , Bala R. Iyer

Non-perturbative studies of quantum gravity have recently suggested the possibility that the strength of gravitational interactions might slowly increase with distance. Here a set of generally covariant effective field equations are…

高能物理 - 理论 · 物理学 2011-07-19 Herbert W. Hamber , Ruth M. Williams

In this work, we seek a cosmological mechanism that may define the sign of the effective gravitational coupling constant, {\em G}. To this end, we consider general scalar-tensor gravity theories as they provide the field theory natural…

广义相对论与量子宇宙学 · 物理学 2019-03-19 Ismael Ayuso , José P. Mimoso , Nelson J. Nunes

We complete the analytical determination, at the 4th post-Newtonian (4PN) approximation, of the conservative dynamics of gravitationally interacting two-point-mass systems. This completion is obtained by resolving the infra-red ambiguity…

广义相对论与量子宇宙学 · 物理学 2014-04-02 Thibault Damour , Piotr Jaranowski , Gerhard Schäfer

Entanglement entropy of quantum fields in gravitational settings is a topic of growing importance. This entropy of entanglement is conventionally computed relative to Cauchy hypersurfaces where it is possible via a partial tracing to…

高能物理 - 理论 · 物理学 2021-05-07 Yangang Chen , Lucas Hackl , Ravi Kunjwal , Heidar Moradi , Yasaman K. Yazdi , Miguel Zilhão

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We treat general relativity as an effective field theory, obtaining the full nonanalytic component of the scattering matrix potential to one-loop order. The lowest order vertex rules for the resulting effective field theory are presented…

高能物理 - 理论 · 物理学 2014-11-18 N. E. J Bjerrum-Bohr , John F. Donoghue , Barry R. Holstein

The gravitational-wave energy flux produced during the head-on infall and collision of two compact objects is calculated using two approaches: (i) a post-Newtonian method, carried to second post-Newtonian order beyond the quadrupole…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Liliana E. Simone , Eric Poisson , Clifford M. Will

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

The localization length for the center of mass motion of a matter lump, induced by gravitation, is obtained, without using any phenomenological constants. Its dependence from mass and volume is consistent both with unitary evolution of…

量子物理 · 物理学 2007-05-23 Sergio De Filippo

We compute next-to-next-to-leading order spin contributions to the post-Newtonian equations of motion for binaries of compact objects, such as black holes or neutron stars. For maximally spinning black holes, those contributions are of…

广义相对论与量子宇宙学 · 物理学 2015-06-11 Sylvain Marsat , Alejandro Bohe , Guillaume Faye , Luc Blanchet