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We investigate the non-adiabatic dynamics of spinning black hole binaries by using an analytical Hamiltonian completed with a radiation-reaction force, containing spin couplings, which matches the known rates of energy and angular momentum…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Alessandra Buonanno , Yanbei Chen , Thibault Damour

We make a comparison between results from numerically generated, quasi-equilibrium configurations of compact binary systems of black holes in close orbits, and results from the post-Newtonian approximation. The post-Newtonian results are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Thierry Mora , Clifford M. Will

A Kerr black hole with mass $M$ and angular momentum $J$ satisfies the extremality inequality $|J| \le M^2$. In the presence of matter and/or gravitational radiation, this bound needs to be reformulated in terms of local measurements of the…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Tanja Bode , Pablo Laguna , Richard A. Matzner

We probe the gravitational interaction of two black holes in the strong-field regime by computing the scattering angle $\chi$ of hyperbolic-like, close binary-black-hole encounters as a function of the impact parameter. The fully…

General Relativity and Quantum Cosmology · Physics 2014-07-18 Thibault Damour , Federico Guercilena , Ian Hinder , Seth Hopper , Alessandro Nagar , Luciano Rezzolla

The effective one-body (EOB) theory provides an innovative framework for analyzing the dynamics of binary systems, as articulated by Hamilton's equations. This paper investigates a self-consistent EOB theory specifically tailored for the…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Jiliang Jing , Sheng Long , Weike Deng , Jieci Wang

A highly accurate computer program is used to study axially symmetric and stationary spacetimes containing a Black Hole surrounded by a ring of matter. It is shown that the matter ring affects the properties of the Black Hole drastically.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David Petroff , Marcus Ansorg

We compute the emission of linear momentum (kicks) by both gravitational and electromagnetic radiation in fully general-relativistic numerical evolutions of quasi-circular charged black hole binaries. We derive analytical expressions for…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Raimon Luna , Gabriele Bozzola , Vitor Cardoso , Vasileios Paschalidis , Miguel Zilhão

We explicitly demonstrate that current numerical relativity techniques are able to accurately evolve black hole binaries with mass ratios of the order of 1000:1. This proof of principle is relevant for future third generation (3G)…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Carlos O. Lousto , James Healy

We calibrate an effective-one-body (EOB) model to numerical-relativity simulations of mass ratios 1, 2, 3, 4, and 6, by maximizing phase and amplitude agreement of the leading (2,2) mode and of the subleading modes (2,1), (3,3), (4,4) and…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Yi Pan , Alessandra Buonanno , Michael Boyle , Luisa T. Buchman , Lawrence E. Kidder , Harald P. Pfeiffer , Mark A. Scheel

We present the first comparison between numerical relativity (NR) simulations of an eccentric binary black hole system with corresponding post-Newtonian (PN) results. We evolve an equal-mass, non-spinning configuration with an initial…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Ian Hinder , Frank Herrmann , Pablo Laguna , Deirdre Shoemaker

Following a prior paper, we review the results for the energy and angular momentum of a Kerr-Newman black hole, and then calculate the same properties for the case of a generalised rotating dilaton of the type derived, without rotation, by…

General Physics · Physics 2012-11-08 Marcelo Samuel Berman

The general relativistic (Mercury-type) periastron advance is calculated here for the first time with exquisite precision in full general relativity. We use accurate numerical relativity simulations of spinless black hole binaries with mass…

General Relativity and Quantum Cosmology · Physics 2013-08-26 Alexandre Le Tiec , Abdul H. Mroué , Leor Barack , Alessandra Buonanno , Harald P. Pfeiffer , Norichika Sago , Andrea Taracchini

We present a study of the gravitational waveforms from a series of spinning, equal-mass black hole binaries focusing on the harmonic content of the waves and the contribution of the individual harmonics to the signal-to-noise ratio. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Deirdre Shoemaker , Birjoo Vaishnav , Ian Hinder , Frank Herrmann

We investigate the interplay between numerical relativity (NR) and point-particle black hole perturbation theory (ppBHPT) for quasi-circular non-spinning binary black holes in the intermediate mass ratio regime: 7<=q<=128 (where…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Tousif Islam

We compute the periastron advance using the effective-one-body formalism for binary black holes moving on quasi-circular orbits and having spins collinear with the orbital angular momentum. We compare the predictions with the periastron…

The physical properties of an axisymmetric black-hole-ring system are studied analytically within the framework of general relativity to second order in the dimensionless mass ratio $\mu\equiv m/M$. In particular, we analyze the asymptotic…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Shahar Hod

The equation of state (EoS) of dark energy $w$ remains elusive despite enormous experimental efforts to pin down its value and its time variation. Yet it is the single most important handle we have in our understanding of one of the most…

General Relativity and Quantum Cosmology · Physics 2008-08-27 Laura Mersini-Houghton , Adam Kelleher

We present a method to determine the angular momentum of a black hole, based on observations of the trajectories of the bodies in the Kerr space-time. We use the Hamilton equations to describe the dynamics of a particle and present results…

We discuss the transition from quasi-circular inspiral to plunge of a system of two nonrotating black holes of masses $m_1$ and $m_2$ in the extreme mass ratio limit $m_1m_2\ll (m_1+m_2)^2$. In this limit, we compare the merger waveforms…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Thibault Damour , Alessandro Nagar

Extremal rotating black holes in Einstein-Maxwell theory feature two branches. On the branch emerging from the Myers-Perry solutions their angular momentum is proportional to their horizon area, while on the branch emerging from the…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Jose Luis Blazquez-Salcedo , Jutta Kunz , Francisco Navarro-Lerida