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Related papers: Gravitational-Wave by Binary OJ287 in 3.5 PN Appro…

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We investigate the (conservative) dynamics of binary black holes using the Hamiltonian formulation of the post-Newtonian (PN) equations of motion. The Hamiltonian we use includes spin-orbit coupling, spin-spin coupling, and mass…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Michael D. Hartl , Alessandra Buonanno

We compute the (displacement) gravitational wave memory due to a quasicircular inspiral of two black holes using a variety of perturbative techniques. Within post-Newtonian theory, we extend previous results for non-spinning binaries to…

General Relativity and Quantum Cosmology · Physics 2025-10-07 Kevin Cunningham , Chris Kavanagh , Adam Pound , David Trestini , Niels Warburton , Jakob Neef

Using the first law of binary black-hole mechanics, we compute the binding energy E and total angular momentum J of two non-spinning compact objects moving on circular orbits with frequency Omega, at leading order beyond the test-particle…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Alexandre Le Tiec , Enrico Barausse , Alessandra Buonanno

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

Recently, the LIGO Scientific Collaboration and Virgo Collaboration published the second observation on gravitational wave GW151226 [Phys. Rev. Lett. 116, 241103 (2016)] from the binary black hole coalescence with initial masses about 14…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Zhe Chang , Chao-Guang Huang , Zhi-Chao Zhao

Binary black-hole systems are expected to be important sources of gravitational waves for upcoming gravitational-wave detectors. If the spins are not colinear with each other or with the orbital angular momentum, these systems exhibit…

General Relativity and Quantum Cosmology · Physics 2016-08-07 Serguei Ossokine , Michael Boyle , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel , Béla Szilágyi

Within the context of the Effective Field Theory (EFT) framework to gravitational dynamics, we compute the Hamiltonian, source quadrupole moment, and gravitational-wave energy flux for (non-spinning) inspiralling compact binaries at…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Loris Amalberti , Zixin Yang , Rafael A. Porto

We discuss the energy loss due to gravitational radiation of binaries composed of exotic objects whose horizon boundary conditions are replaced with reflective ones. Our focus is on the extreme mass-ratio inspirals, in which the central…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Norichika Sago , Takahiro Tanaka

We derive the equations of motion for binary systems of compact bodies in the post-Newtonian (PN) approximation to general relativity. Results are given through 2PN order (order (v/c)^4 beyond Newtonian theory), and for gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Michael E. Pati , Clifford M. Will

Using post-Newtonian equations of motion for fluid bodies that include radiation-reaction terms at 2.5 and 3.5 post-Newtonian (PN) order (O[(v/c)^5] and O[(v/c)^7] beyond Newtonian order), we derive the equations of motion for binary…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Clifford M. Will

Discovery of gravitational waves by LIGO team (Abbott et al. 2016) bring a new era for observation of black hole systems. These new observations will improve our knowledge on black holes and gravitational physics. In this study, we present…

Solar and Stellar Astrophysics · Physics 2016-03-15 D. Koçak , K. Yakut

Gravitational radiation is properly defined only at future null infinity ($\scri$), but in practice it is estimated from data calculated at a finite radius. We have used characteristic extraction to calculate gravitational radiation at…

General Relativity and Quantum Cosmology · Physics 2010-01-08 C. Reisswig , N. T. Bishop , D. Pollney , B. Szilagyi

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…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Clifford M. Will

We find the inferred properties of the putative gravitational wave background in the second data release of the European Pulsar Timing Array to be in better agreement with theoretical expectations under the improved noise model. In…

High Energy Astrophysical Phenomena · Physics 2025-11-05 Boris Goncharov , Shubhit Sardana , A. Sesana , S. M. Tomson , J. Antoniadis , A. Chalumeau , D. Champion , S. Chen , E. F. Keane , K. Liu , G. Shaifullah , L. Speri , S. Valtolina

Electromagnetic observations of the radiation emitted by an accretion disk around a black hole, as well as gravitational wave observations of coalescing binaries, can be used to probe strong-field gravity. We here compare the constraints…

General Relativity and Quantum Cosmology · Physics 2020-05-14 Alejandro Cardenas-Avendano , Sourabh Nampalliwar , Nicolas Yunes

Observations of gravitational waves from compact binary mergers have enabled unique tests of general relativity in the dynamical and non-linear regimes. One of the most important such tests are constraints on the post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Andrey A. Shoom , Pawan K. Gupta , Badri Krishnan , Alex B. Nielsen , Collin D. Capano

(Abridged) High-order terms in the post-Newtonian (PN) expansions of various quantities for compact binaries exhibit a combinatorial increase in complexity, including ever-increasing numbers of transcendentals. Here we consider the…

General Relativity and Quantum Cosmology · Physics 2014-07-30 Nathan K. Johnson-McDaniel

In this work I use a frequency-domain Regge-Wheeler-Zerilli approach to compute the gravitational wave energy radiated by a compact body moving along a hyperbolic or parabolic geodesic of a Schwarzschild black hole. I compare my results…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Niels Warburton

To be observed and analyzed by the network of current gravitational wave detectors (LIGO, Virgo, KAGRA), and in anticipation of future third generation ground based (Einstein Telescope, Cosmic Explorer) and space borne (LISA) detectors,…

General Relativity and Quantum Cosmology · Physics 2024-07-16 Luc Blanchet

We derive the energy fluxes radiated by compact binary systems, including "hairy" black holes, in Einstein-Maxwell-dilaton theories, for circular orbits and at quadrupolar order. This enables to include in their resummed effective-one-body…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Félix-Louis Julié