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Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

We investigate the possible total radiated energy produced by a binary black hole system containing non-vanishing total angular momentum. For the scenearios considered we find that the total radiated energy does not exceed 1%. Additionally…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Osvaldo Moreschi , Alejandro Perez , Luis Lehner

We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Enrico Barausse , Viktoriya Morozova , Luciano Rezzolla

As one step towards a systematic modeling of the electromagnetic (EM) emission from an inspiralling black hole binary we consider a simple scenario in which the binary moves in a uniform magnetic field anchored to a distant circumbinary…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Philipp Mösta , Carlos Palenzuela , Luciano Rezzolla , Luis Lehner , Shin'ichirou Yoshida , Denis Pollney

In this exploratory study, we demonstrate the capability of the numerical-relativity code BAM to simulate fully relativistic black-hole binary-single and binary-binary encounters. While previous work has demonstrated the general capability…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Felix M. Heinze , Bernd Brügmann , Tim Dietrich , Ivan Markin

We study the energy-momentum characteristics of the rotating black hole - Kerr solution of general relativity in the Teleparallel Equivalent of General Relativity (TEGR) and the Symmetric Teleparallel Equivalent of General Relativity…

General Physics · Physics 2026-01-26 E. D. Emtsova , A. N. Petrov , A. V. Toporensky

One of the open problems in developing binary black hole (BBH) waveforms for gravitational wave astronomy is to model the intermediate mass ratio regime and connect it to the extreme mass ratio regime. A natural approach is to employ the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Alessandro Nagar , James Healy , Carlos O. Lousto , Sebastiano Bernuzzi , Angelica Albertini

We present the first numerical simulations of an initially non-spinning black-hole binary with mass ratio as large as 10:1 in full general relativity. The binary completes approximately 3 orbits prior to merger and radiates about 0.415% of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Jose A. Gonzalez , Ulrich Sperhake , Bernd Bruegmann

We present a coordinate-independent method for extracting mass (M) and angular momentum (J) of a black hole in numerical simulations. This method, based on the isolated horizon framework, is applicable both at late times when the black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olaf Dreyer , Badri Krishnan , Eric Schnetter , Deirdre Shoemaker

A model for determining the dimensionless spin parameter and mass of the black hole remnant of black hole-neutron star mergers with arbitrary initial black hole spin angular momentum, binary mass ratio, and neutron star mass and cold…

General Relativity and Quantum Cosmology · Physics 2014-03-11 Francesco Pannarale

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is everywhere non-singular, for small $r$ it…

General Relativity and Quantum Cosmology · Physics 2020-05-26 I. Radinschi , P. K. Sahoo , Th. Grammenos , S. Chattopadhyay , M. M. Cazacu

We explore different gauge choices in the moving puncture formulation in order to improve the accuracy of a linear momentum measure evaluated on the horizon of the remnant black hole produced by the merger of a binary. In particular,…

General Relativity and Quantum Cosmology · Physics 2020-07-22 James Healy , Carlos O. Lousto , Nicole Rosato

The final state of a binary black hole merger is predicted with high precision by numerical relativity, but could there be a simple thermodynamic principle within general relativity that governs the selection of the remnant? Using…

General Relativity and Quantum Cosmology · Physics 2026-02-02 Monica Rincon-Ramirez , Nathan K. Johnson-McDaniel , Eugenio Bianchi , Ish Gupta , Vaishak Prasad , B. S. Sathyaprakash

We study binary black hole mergers in the extreme mass-ratio limit. We determine the energy, angular momentum, and linear momentum of the post-merger, remnant black hole. Unlike previous works, we perform our analysis directly in the…

General Relativity and Quantum Cosmology · Physics 2022-11-22 Barak Rom , Re'em Sari

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Pedro Marronetti

Accurate models of merger remnants are increasingly important for gravitational-wave science, including precision tests of gravity with ringdown, inference of black-hole populations, and modeling hierarchical mergers. For eccentric…

Using equations of motion accurate to the third post-Newtonian (3PN) order (O(v/c)^6 beyond Newtonian gravity), we derive expressions for the total energy E and angular momentum J of the orbits of compact binary systems (black holes or…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Thierry Mora , Clifford M. Will

The two-body problem in General Relativity has been the subject of many analytical investigations. After reviewing some of the methods used to tackle this problem (and, more generally, the N-body problem), we focus on a new, recently…

General Relativity and Quantum Cosmology · Physics 2013-12-13 Thibault Damour

Dynamical captures of black holes may take place in dense stellar media due to the emission of gravitational radiation during a close passage. Detection of such events requires detailed modelling, since their phenomenology qualitatively…

We used two numerical models, namely the \texttt{CBwaves} and \texttt{SEOBNRE} algorithms, based on the post-Newtonian and effective-one-body approaches for binary black holes evolving on eccentric orbits. We performed 20.000 new…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Balázs Kacskovics , Dániel Barta