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We extend our previous results of the 14th post-Newtonian (PN) order expansion of gravitational waves for a test particle in circular orbits around a Schwarzschild black hole to the 22PN order, i.e. $v^{44}$ beyond the leading Newtonian…

General Relativity and Quantum Cosmology · Physics 2012-11-26 Ryuichi Fujita

Characterizing the properties of black holes is one of the most important science objectives for gravitational-wave observations. Astrophysical evidence suggests that black holes that are nearly extremal (i.e. spins near the theoretical…

We revisit the modeling of the properties of the remnant black hole resulting the merger of a black-hole binary as a function of the parameters of the binary. We provide a set of empirical formulas for the final mass, spin and recoil…

General Relativity and Quantum Cosmology · Physics 2016-07-21 Yosef Zlochower , Carlos O. Lousto

We establish the evolution equations of the set of independent variables characterizing the 2PN rigorous conservative dynamics of a spinning compact binary, with the inclusion of the leading order spin-orbit, spin-spin and mass quadrupole -…

General Relativity and Quantum Cosmology · Physics 2010-12-09 László Árpád Gergely

The ringdown phase of a black hole formed from the merger of two orbiting black holes is described by means of the close-limit (CL) approximation starting from second-post-Newtonian (2PN) initial conditions. The 2PN metric of point-particle…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Alexandre Le Tiec , Luc Blanchet

The formation and growth of supermassive black holes is a key issue to unveil the secrets of galaxy formation. In particular, the gravitational recoil produced in the merger of unequal mass black hole binaries could have a number of…

Astrophysics · Physics 2011-02-11 Carlos F. Sopuerta , Nicolas Yunes , Pablo Laguna

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…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Sylvain Marsat , Alejandro Bohe , Guillaume Faye , Luc Blanchet

We present results from an extensive study of 88 precessing, equal-mass black-hole binaries with large spins (83 with intrinsic spins of 0.8 and 5 with intrinsic spins of 0.9)and use these data to model new nonlinear contributions to the…

General Relativity and Quantum Cosmology · Physics 2014-01-14 Carlos O. Lousto , Yosef Zlochower

The relativistic motion of a compact binary system moving in circular orbit is investigated using the post-Newtonian (PN) approximation and the perturbative self-force (SF) formalism. A particular gauge-invariant observable quantity is…

General Relativity and Quantum Cosmology · Physics 2015-05-19 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We performed a series of 1381 full numerical simulations of high energy collision of black holes to search for the maximum recoil velocity after their merger. We consider equal mass binaries with opposite spins pointing along their orbital…

General Relativity and Quantum Cosmology · Physics 2024-01-17 James Healy , Carlos O. Lousto

The multipolar-post-Minkowskian approach to gravitational radiation is applied to the problem of the generation of waves by the compact binary inspiral. We investigate specifically the third post-Newtonian (3PN) approximation in the total…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Bala R. Iyer , Benoit Joguet

We analyze in detail the spin precession equations in binary black hole systems, when the tidal torque on a Kerr black hole due to quadrupole-monopole coupling is taken into account. We show that completing the precession equations with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Etienne Racine

Very large mass ratio binary black hole systems are of interest both as a clean limit of the two-body problem in general relativity, as well as for their importance as sources of low-frequency gravitational waves. At lowest order, the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

Using the Effective One Body approach, that includes nonperturbative resummed estimates for the damping and conservative parts of the compact binary dynamics, we compute the recoil during the late inspiral and the subsequent plunge of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thibault Damour , Achamveedu Gopakumar

Emission of anisotropic gravitational radiation from compact binary system leads to a flux of linear momentum. This results in the recoil of the system. We investigate the rate of loss of Linear momentum flux in the far zone of the source…

General Relativity and Quantum Cosmology · Physics 2022-04-06 Shilpa Kastha

We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

We present our 3.5PN computation of the (2,2) mode of the gravitational wave amplitude emitted by compact binaries, on quasi-circular orbits and in the absence of spins. We use the multipolar post-Newtonian wave generation formalism,…

General Relativity and Quantum Cosmology · Physics 2012-10-09 Guillaume Faye , Sylvain Marsat , Luc Blanchet , Bala R. Iyer

We present the first results from a new method for computing spacetimes representing corotating binary black holes in circular orbits. The method is based on the assumption of exact equilibrium. It uses the standard 3+1 decomposition of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippe Grandclément , Eric Gourgoulhon , Silvano Bonazzola

Gravitational waves radiated by the coalescence of compact-object binaries containing a neutron star and a black hole are one of the most interesting sources for the ground-based gravitational-wave observatories Advanced LIGO and Advanced…

General Relativity and Quantum Cosmology · Physics 2014-05-21 Alexander H. Nitz , Andrew Lundgren , Duncan A. Brown , Evan Ochsner , Drew Keppel , Ian W. Harry

Modeling the remnant recoil velocity (kick) distribution from binary black hole mergers is crucial for understanding hierarchical mergers in active galactic nuclei or globular clusters. Existing analytic models often show large…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Tousif Islam , Digvijay Wadekar
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