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A rotating star's oblateness creates a deformation in the gravitational field outside the star, which is measured by the quadrupole-moment tensor. We consider the effect of the quadrupole moment on the orbital motion and rate of inspiral of…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Eric Poisson

The worldlines (in harmonic coordinates) of two gravitationally interacting massive bodies at the second post-Minkowskian order are described in explicit form. Both the conservative case and the radiation-reacted case are considered. We use…

General Relativity and Quantum Cosmology · Physics 2024-09-02 Donato Bini , Thibault Damour , Andrea Geralico

The gravity effects in high-energy scattering, described by a four-dimensional eikonal amplitude related to gravireggeons induced by compact extra dimensions are studied. It is demonstrated that the real part of the eikonal (with a massless…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Kisselev , V. A. Petrov

We discuss an approach to compute two-particle scattering amplitudes for spinless particles colliding at Planckian centre-of-mass energies, with increasing momentum transfer away from the eikonal limit. For electrically neutral particles,…

High Energy Physics - Theory · Physics 2015-06-26 Saurya Das , Parthasarathi Majumdar

This paper is motivated by the need to improve the post-Newtonian (PN) amplitude accuracy of waveforms for gravitational waves generated by inspiralling compact binaries, both for use in data analysis and in the comparison between…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Guillaume Faye , Luc Blanchet , Bala R. Iyer

We consider the frequency-domain LO and NLO post-Minkowskian (PM) waveforms obtained from the tree-level and one-loop amplitudes describing the scattering of two massive scalar objects and the emission of one graviton. We explicitly…

High Energy Physics - Theory · Physics 2024-05-24 Alessandro Georgoudis , Carlo Heissenberg , Rodolfo Russo

Motivated by conceptual problems in quantum theories of gravity, the gravitational eikonal approach, inspired by its electromagnetic predecessor, has been successfully applied to the transplanckian energy collisions of elementary particles…

High Energy Physics - Theory · Physics 2024-07-08 Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano

The recent gravitational wave observations provide insight into the extreme gravity regime of coalescing binaries, where gravity is strong, dynamical and non-linear. The interpretation of these observations relies on the comparison of the…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Alexander Saffer , Nicolas Yunes

According to the classical Einstein-Maxwell theory of gravity and electromagnetism, a light-wave traveling in empty space-time is accompanied by a gravitational field of the pp-type. Therefore point masses are scattered by a light wave,…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. W. van Holten

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

High Energy Physics - Theory · Physics 2026-05-19 Michael Saavedra

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…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Piotr Jaranowski , Gerhard Schäfer

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…

High Energy Physics - Theory · Physics 2022-05-30 Zhengwen Liu , Rafael A. Porto , Zixin Yang

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 ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Clifford M. Will , Alan G. Wiseman

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…

High Energy Physics - Theory · Physics 2023-08-09 Gustav Uhre Jakobsen

In this article, we focus on the effects of mass transfer between binary stars and stellar spin on the post-Newtonian (PN) orbital evolution and gravitational waveforms of compact binary systems. We employ the 2.5PN approximation and the…

General Relativity and Quantum Cosmology · Physics 2025-02-24 Yifan He , Jie Yang

We present a new formula for the angular momentum $J^{\mu\nu}$ carried away by gravitational radiation in classical scattering. This formula, combined with the known expression for the radiated linear momentum $P^\mu$, completes the set of…

High Energy Physics - Theory · Physics 2022-10-11 Aneesh V. Manohar , Alexander K. Ridgway , Chia-Hsien Shen

We discuss in some detail the interaction of classical particles, including the scattering and memory effect, with a pulse of gravitational plane wave. The key point is the conformal symmetry of gravitational plane waves. In particular, we…

General Relativity and Quantum Cosmology · Physics 2018-06-26 K. Andrzejewski , S. Prencel

We study classical scattering of charged black holes in Einstein-Maxwell-Dilaton (EMD) theory. Working in the classical (Post-Minkowskian) regime, we extract the conservative two-body potential by expanding the one loop amplitudes in the…

High Energy Physics - Theory · Physics 2026-04-21 Arpan Bhattacharyya , Saptaswa Ghosh , Ankit Mishra , Sounak Pal

This article provides the details on the technical derivation of the gravitational waveform and total gravitational-wave energy flux of non-spinning compact binary systems to the 4PN (fourth post-Newtonian) order beyond the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Luc Blanchet , Guillaume Faye , Quentin Henry , François Larrouturou , David Trestini

The gravitational energy-momentum and angular momentum satisfy the algebra of the Poincare group in the full phase space of the teleparallel equivalent of general relativity. The expression for the gravitational energy-momentum may be…

General Relativity and Quantum Cosmology · Physics 2009-11-13 J. W. Maluf , S. C. Ulhoa