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We present analytical and numerical progress on black-hole binary spin precession at second post-Newtonian order using multi-timescale methods. In addition to the commonly used effective spin which acts as a constant of motion, we exploit…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Davide Gerosa , Giulia Fumagalli , Matthew Mould , Giovanni Cavallotto , Diego Padilla Monroy , Daria Gangardt , Viola De Renzis

Gravitational waves at suitable frequencies can resonantly interact with a binary system, inducing changes to its orbit. A stochastic gravitational-wave background causes the orbital elements of the binary to execute a classic random walk,…

General Relativity and Quantum Cosmology · Physics 2013-05-27 Lam Hui , Sean T. McWilliams , I-Sheng Yang

Using the 3D smoothed particle hydrodynamics code PHANTOM, we investigate the evolution of the orbital properties of massive black hole binaries embedded in massive discs where gravitational instabilities (GIs) triggered by the disc…

High Energy Astrophysical Phenomena · Physics 2024-08-21 Alessia Franchini , Alessandra Prato , Cristiano Longarini , Alberto Sesana

We establish the set of independent variables suitable to monitor the complicated evolution of the spinning compact binary during the inspiral. Our approach is valid up to the second post-Newtonian order, including leading order spin-orbit,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 László Árpád Gergely

Black holes are the simplest macroscopic objects, and provide unique tests of General Relativity. They have been compared to the Hydrogen atom in quantum mechanics. Here, we establish a few facts about the simplest systems bound by gravity:…

General Relativity and Quantum Cosmology · Physics 2019-08-07 Laura Bernard , Vitor Cardoso , Taishi Ikeda , Miguel Zilhao

The post-post-Newtonian (2PN) accurate mass quadrupole moment, for compact binaries of arbitrary mass ratio, moving in general orbits is obtained by the multi-polar post Minkowskian approach of Blanchet, Damour, and Iyer (BDI). Using this,…

General Relativity and Quantum Cosmology · Physics 2014-11-17 A. Gopakumar , Bala R. Iyer

In this paper we discuss the anatomy of frequency-domain gravitational-wave signals from non-precessing black-hole coalescences with the goal of constructing accurate phenomenological waveform models. We first present new…

General Relativity and Quantum Cosmology · Physics 2016-02-10 Sascha Husa , Sebastian Khan , Mark Hannam , Michael Pürrer , Frank Ohme , Xisco Jiménez Forteza , Alejandro Bohé

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

We derive an effective potential for binary black-hole (BBH) spin precession at second post-Newtonian order. This effective potential allows us to solve the orbit-averaged spin-precession equations analytically for arbitrary mass ratios and…

General Relativity and Quantum Cosmology · Physics 2015-03-10 Michael Kesden , Davide Gerosa , Richard O'Shaughnessy , Emanuele Berti , Ulrich Sperhake

We introduce IMRPhenomTEHM, a new phenomenological time-domain model for eccentric aligned-spin binary black holes. Building upon the accurate quasi-circular IMRPhenomTHM model, IMRPhenomTEHM integrates the eccentric post-Newtonian (PN)…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Maria de Lluc Planas , Antoni Ramos-Buades , Cecilio García-Quirós , Héctor Estellés , Sascha Husa , Maria Haney

As 2 black holes bound to each other in a close binary approach merger their inspiral time becomes shorter than the characteristic inflow time of surrounding orbiting matter. Using an innovative technique in which we represent the changing…

High Energy Astrophysical Phenomena · Physics 2015-06-04 Scott C. Noble , Bruno C. Mundim , Hiroyuki Nakano , Julian H. Krolik , Manuela Campanelli , Yosef Zlochower , Nicolás Yunes

With hydrodynamical simulations we examine the evolution of a highly misaligned circumbinary disc around a black hole binary including the effects of general relativity. We show that a disc mass of just a few percent of the binary mass can…

High Energy Astrophysical Phenomena · Physics 2023-11-20 Rebecca G. Martin , Stephen Lepp , Bing Zhang , C. J. Nixon , Anna C. Childs

We compute the isotropic gravitational wave (GW) background produced by binary supermassive black holes (SBHs) in galactic nuclei. In our model, massive binaries evolve at early times via gravitational-slingshot interaction with nearby…

Astrophysics of Galaxies · Physics 2017-05-04 Alexander Rasskazov , David Merritt

We derive the gravitational field and equations of motion of compact binary systems up to the 5/2 post-Newtonian approximation of general relativity (where radiation-reaction effects first appear). The approximate post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Luc Blanchet , Guillaume Faye , Bénédicte Ponsot

The dynamics of a test particle in a non-spinning binary black hole system of equal masses is numerically investigated. The binary system is modeled in the context of the pseudo-Newtonian circular restricted three-body problem, such that…

Astrophysics of Galaxies · Physics 2018-08-02 Euaggelos E. Zotos , Fredy L. Dubeibe , Guillermo A. González

A complete formalism for constructing initial data representing black-hole binaries in quasi-equilibrium is developed. Radiation reaction prohibits, in general, true equilibrium binary configurations. However, when the timescale for orbital…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gregory B. Cook

Relativistic spin-orbit and spin-spin couplings has been shown to modify the gravitational waveforms expected from inspiraling binaries with a black hole and a neutron star. As a result inspiral signals may be missed due to significant…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Philippe Grandclement , Mia Ihm , Vassiliki Kalogera , Krzystof Belczynski

We study the inspiral, merger and ringdown of unequal mass black hole binaries by analyzing a catalogue of numerical simulations for seven different values of the mass ratio (from q=M2/M1=1 to q=4). We compare numerical and Post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso , Jose A. Gonzalez , Ulrich Sperhake , Mark Hannam , Sascha Husa , Bernd Bruegmann

The generalized post-Keplerian parametrization for compact binaries on eccentric bound orbits is established at second post-Newtonian (2PN) order in a class of massless scalar-tensor theories. This result is used to compute the…

General Relativity and Quantum Cosmology · Physics 2025-04-21 David Trestini

We calculate the rotation of the inertial frames within an almost flat cylindrical region surrounded by a pulse of non-axially-symmetric gravitational waves that rotate about the axis of our cylindrical polar coordinates. Our spacetime has…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Donald Lynden-Bell , Jiri Bicak , Joseph Katz
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