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We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

We present and assess a Bayesian method to interpret gravitational wave signals from binary black holes. Our method directly compares gravitational wave data to numerical relativity simulations. This procedure bypasses approximations used…

Waveforms are classical observables associated with any radiative physical process. Using scattering amplitudes, these are usually computed in a weak-field regime to some finite order in the post-Newtonian or post-Minkowskian approximation.…

高能物理 - 理论 · 物理学 2023-07-19 Tim Adamo , Andrea Cristofoli , Anton Ilderton , Sonja Klisch

Upcoming observational runs of the LIGO-Virgo-KAGRA collaboration, and future gravitational-wave (GW) detectors on the ground and in space, require waveform models more accurate than currently available. High-precision waveform models can…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Mohammed Khalil , Alessandra Buonanno , Jan Steinhoff , Justin Vines

Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical…

广义相对论与量子宇宙学 · 物理学 2014-10-06 Alexandre Le Tiec

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

广义相对论与量子宇宙学 · 物理学 2011-08-24 Pablo Galaviz , Bernd Bruegmann

A particle of mass $\mu$ moves on a circular orbit around a nonrotating black hole of mass $M$. Under the assumption $\mu \ll M$ the gravitational waves emitted by such a binary system can be calculated exactly numerically using black-hole…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Eric Poisson

We consider an application of the Multipolar Post Minkowskian formalism to the case of a two-body system in radial fall. We compute, within the post-Newtonian approximation, the associated gravitational waveform reaching the 2.5…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Donato Bini , Giorgio Di Russo

We compare numerical relativity (NR) data on the scattering of equal-mass, non-spinning binary black holes to various analytical predictions based on post-Minkowskian (PM) results. While the usual sequence of PM-expanded scattering angles…

广义相对论与量子宇宙学 · 物理学 2023-04-05 Thibault Damour , Piero Rettegno

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

广义相对论与量子宇宙学 · 物理学 2013-08-27 Saeed Mirshekari

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

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

In this work, we study gravitational wave emission from periodic orbits of test particles, analyze quasi periodic oscillations, and constrain the parameters of the static, spherically symmetric Einstein nonlinear Maxwell Yukawa black hole.…

广义相对论与量子宇宙学 · 物理学 2026-04-07 Oreeda Shabbir , Abubakir Shermatov , Bushra Majeed , Tehreem Zahra , Mubasher Jamil , Javlon Rayimbaev

Building upon recent progress in applying on-shell amplitude techniques to classical observables in general relativity, we propose a closed-form formula for the conservative Hamiltonian of a spinning binary system at the 1st…

高能物理 - 理论 · 物理学 2020-12-22 Ming-Zhi Chung , Yu-tin Huang , Jung-Wook Kim , Sangmin Lee

We report on recent results obtained in the post-Newtonian framework for the modelling of the gravitational waves emitted by binary systems of spinning compact objects (black holes and/or neutron stars). These new results are obtained at…

广义相对论与量子宇宙学 · 物理学 2013-12-20 Sylvain Marsat , Luc Blanchet , Alejandro Bohe , Guillaume Faye

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

广义相对论与量子宇宙学 · 物理学 2018-10-17 Luc Blanchet , Athanassios S. Fokas

We present a new computation of the asymptotic gravitational wave energy fluxes emitted by a {\it spinning} particle in circular equatorial orbits about a Kerr black hole. The particle dynamics is computed in the pole-dipole approximation,…

广义相对论与量子宇宙学 · 物理学 2019-08-08 Enno Harms , Georgios Lukes-Gerakopoulos , Sebastiano Bernuzzi , Alessandro Nagar

A parametrized multipolar gravitational wave phasing within multipolar post-Minkowskian and post-Newtonian formalism was developed in earlier works [S. Kastha et al., PRD 98, 124033 (2018) and PRD 100, 044007 (2019)]. This facilitates the…

广义相对论与量子宇宙学 · 物理学 2024-10-14 Parthapratim Mahapatra , Shilpa Kastha

Driven by advances in scattering amplitudes and worldline-based methods, recent years have seen significant progress in our ability to calculate gravitational two-body scattering observables. These observables effectively encapsulate the…

广义相对论与量子宇宙学 · 物理学 2024-11-21 Alessandra Buonanno , Gustav Mogull , Raj Patil , Lorenzo Pompili

Recent developments in post-Minkowksian (PM) calculations have led to a fast-growing body of weak-field perturbative information. As such, there is major interest within the gravitational wave community as to how this information can be…

广义相对论与量子宇宙学 · 物理学 2025-03-17 Shaun Swain , Geraint Pratten , Patricia Schmidt